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Finding the Third Proportional to 317,254.50 and 491,481

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Solution

The third proportional to 317,254.50 and 491,481 is: 761,387.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,254.50 : 491,481 = 491,481 : x
  2. Step 2: Convert to fraction form
    317,254.50/491,481 = 491,481/x
  3. Step 3: Cross multiply
    317,254.50x = 491,481 × 491,481
  4. Step 4: Simplify right side
    317,254.50x = 241,553,573,361
  5. Step 5: Solve for x
    x = 241,553,573,361/317,254.50
  6. Step 6: Final answer
    x = 761,387.38

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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.