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Finding the Third Proportional to 305,090 and 472,398

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Solution

The third proportional to 305,090 and 472,398 is: 731,455.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,090 : 472,398 = 472,398 : x
  2. Step 2: Convert to fraction form
    305,090/472,398 = 472,398/x
  3. Step 3: Cross multiply
    305,090x = 472,398 × 472,398
  4. Step 4: Simplify right side
    305,090x = 223,159,870,404
  5. Step 5: Solve for x
    x = 223,159,870,404/305,090
  6. Step 6: Final answer
    x = 731,455.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.