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Finding the Third Proportional to 207,090 and 307,719

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Solution

The third proportional to 207,090 and 307,719 is: 457,245.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,090 : 307,719 = 307,719 : x
  2. Step 2: Convert to fraction form
    207,090/307,719 = 307,719/x
  3. Step 3: Cross multiply
    207,090x = 307,719 × 307,719
  4. Step 4: Simplify right side
    207,090x = 94,690,982,961
  5. Step 5: Solve for x
    x = 94,690,982,961/207,090
  6. Step 6: Final answer
    x = 457,245.56

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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.