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Finding the Third Proportional to 316,713 and 490,817

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Solution

The third proportional to 316,713 and 490,817 is: 760,629.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,713 : 490,817 = 490,817 : x
  2. Step 2: Convert to fraction form
    316,713/490,817 = 490,817/x
  3. Step 3: Cross multiply
    316,713x = 490,817 × 490,817
  4. Step 4: Simplify right side
    316,713x = 240,901,327,489
  5. Step 5: Solve for x
    x = 240,901,327,489/316,713
  6. Step 6: Final answer
    x = 760,629.74

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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.