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Finding the Third Proportional to 130,451.50 and 201,840

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Solution

The third proportional to 130,451.50 and 201,840 is: 312,295.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,451.50 : 201,840 = 201,840 : x
  2. Step 2: Convert to fraction form
    130,451.50/201,840 = 201,840/x
  3. Step 3: Cross multiply
    130,451.50x = 201,840 × 201,840
  4. Step 4: Simplify right side
    130,451.50x = 40,739,385,600
  5. Step 5: Solve for x
    x = 40,739,385,600/130,451.50
  6. Step 6: Final answer
    x = 312,295.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.