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Finding the Third Proportional to 317,269 and 491,501

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Solution

The third proportional to 317,269 and 491,501 is: 761,414.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,269 : 491,501 = 491,501 : x
  2. Step 2: Convert to fraction form
    317,269/491,501 = 491,501/x
  3. Step 3: Cross multiply
    317,269x = 491,501 × 491,501
  4. Step 4: Simplify right side
    317,269x = 241,573,233,001
  5. Step 5: Solve for x
    x = 241,573,233,001/317,269
  6. Step 6: Final answer
    x = 761,414.55

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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.