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Finding the Third Proportional to 317,385 and 491,750

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Solution

The third proportional to 317,385 and 491,750 is: 761,907.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,385 : 491,750 = 491,750 : x
  2. Step 2: Convert to fraction form
    317,385/491,750 = 491,750/x
  3. Step 3: Cross multiply
    317,385x = 491,750 × 491,750
  4. Step 4: Simplify right side
    317,385x = 241,818,062,500
  5. Step 5: Solve for x
    x = 241,818,062,500/317,385
  6. Step 6: Final answer
    x = 761,907.66

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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.