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Finding the Third Proportional to 156,712.50 and 338,359.50

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Solution

The third proportional to 156,712.50 and 338,359.50 is: 730,555.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,712.50 : 338,359.50 = 338,359.50 : x
  2. Step 2: Convert to fraction form
    156,712.50/338,359.50 = 338,359.50/x
  3. Step 3: Cross multiply
    156,712.50x = 338,359.50 × 338,359.50
  4. Step 4: Simplify right side
    156,712.50x = 114,487,151,240.25
  5. Step 5: Solve for x
    x = 114,487,151,240.25/156,712.50
  6. Step 6: Final answer
    x = 730,555.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.