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Finding the Third Proportional to 478,565 and 741,375

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Solution

The third proportional to 478,565 and 741,375 is: 1,148,510.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,565 : 741,375 = 741,375 : x
  2. Step 2: Convert to fraction form
    478,565/741,375 = 741,375/x
  3. Step 3: Cross multiply
    478,565x = 741,375 × 741,375
  4. Step 4: Simplify right side
    478,565x = 549,636,890,625
  5. Step 5: Solve for x
    x = 549,636,890,625/478,565
  6. Step 6: Final answer
    x = 1,148,510.42

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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.