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Finding the Third Proportional to 447,090 and 676,413

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Solution

The third proportional to 447,090 and 676,413 is: 1,023,361.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,090 : 676,413 = 676,413 : x
  2. Step 2: Convert to fraction form
    447,090/676,413 = 676,413/x
  3. Step 3: Cross multiply
    447,090x = 676,413 × 676,413
  4. Step 4: Simplify right side
    447,090x = 457,534,546,569
  5. Step 5: Solve for x
    x = 457,534,546,569/447,090
  6. Step 6: Final answer
    x = 1,023,361.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.