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Finding the Third Proportional to 15,411.50 and 23,205.75

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Solution

The third proportional to 15,411.50 and 23,205.75 is: 34,941.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,411.50 : 23,205.75 = 23,205.75 : x
  2. Step 2: Convert to fraction form
    15,411.50/23,205.75 = 23,205.75/x
  3. Step 3: Cross multiply
    15,411.50x = 23,205.75 × 23,205.75
  4. Step 4: Simplify right side
    15,411.50x = 538,506,833.06
  5. Step 5: Solve for x
    x = 538,506,833.06/15,411.50
  6. Step 6: Final answer
    x = 34,941.88

Related Problems

Find third proportional to 7,705.75 and 11,602.88
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.