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Finding the Third Proportional to 305,506.50 and 456,210

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Solution

The third proportional to 305,506.50 and 456,210 is: 681,254.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,506.50 : 456,210 = 456,210 : x
  2. Step 2: Convert to fraction form
    305,506.50/456,210 = 456,210/x
  3. Step 3: Cross multiply
    305,506.50x = 456,210 × 456,210
  4. Step 4: Simplify right side
    305,506.50x = 208,127,564,100
  5. Step 5: Solve for x
    x = 208,127,564,100/305,506.50
  6. Step 6: Final answer
    x = 681,254.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.