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Finding the Third Proportional to 138,907.50 and 207,446

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Solution

The third proportional to 138,907.50 and 207,446 is: 309,802.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,907.50 : 207,446 = 207,446 : x
  2. Step 2: Convert to fraction form
    138,907.50/207,446 = 207,446/x
  3. Step 3: Cross multiply
    138,907.50x = 207,446 × 207,446
  4. Step 4: Simplify right side
    138,907.50x = 43,033,842,916
  5. Step 5: Solve for x
    x = 43,033,842,916/138,907.50
  6. Step 6: Final answer
    x = 309,802.16

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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.