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Finding the Third Proportional to 138,169.50 and 202,720.50

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Solution

The third proportional to 138,169.50 and 202,720.50 is: 297,428.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,169.50 : 202,720.50 = 202,720.50 : x
  2. Step 2: Convert to fraction form
    138,169.50/202,720.50 = 202,720.50/x
  3. Step 3: Cross multiply
    138,169.50x = 202,720.50 × 202,720.50
  4. Step 4: Simplify right side
    138,169.50x = 41,095,601,120.25
  5. Step 5: Solve for x
    x = 41,095,601,120.25/138,169.50
  6. Step 6: Final answer
    x = 297,428.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.