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Finding the Third Proportional to 317,580 and 493,866

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Solution

The third proportional to 317,580 and 493,866 is: 768,006.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,580 : 493,866 = 493,866 : x
  2. Step 2: Convert to fraction form
    317,580/493,866 = 493,866/x
  3. Step 3: Cross multiply
    317,580x = 493,866 × 493,866
  4. Step 4: Simplify right side
    317,580x = 243,903,625,956
  5. Step 5: Solve for x
    x = 243,903,625,956/317,580
  6. Step 6: Final answer
    x = 768,006.88

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.