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Finding the Third Proportional to 317,748 and 491,549

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Solution

The third proportional to 317,748 and 491,549 is: 760,415.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,748 : 491,549 = 491,549 : x
  2. Step 2: Convert to fraction form
    317,748/491,549 = 491,549/x
  3. Step 3: Cross multiply
    317,748x = 491,549 × 491,549
  4. Step 4: Simplify right side
    317,748x = 241,620,419,401
  5. Step 5: Solve for x
    x = 241,620,419,401/317,748
  6. Step 6: Final answer
    x = 760,415.23

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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.