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Finding the Third Proportional to 138,906 and 207,445

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Solution

The third proportional to 138,906 and 207,445 is: 309,802.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,906 : 207,445 = 207,445 : x
  2. Step 2: Convert to fraction form
    138,906/207,445 = 207,445/x
  3. Step 3: Cross multiply
    138,906x = 207,445 × 207,445
  4. Step 4: Simplify right side
    138,906x = 43,033,428,025
  5. Step 5: Solve for x
    x = 43,033,428,025/138,906
  6. Step 6: Final answer
    x = 309,802.51

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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.