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Finding the Third Proportional to 316,711 and 490,814

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Solution

The third proportional to 316,711 and 490,814 is: 760,625.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,711 : 490,814 = 490,814 : x
  2. Step 2: Convert to fraction form
    316,711/490,814 = 490,814/x
  3. Step 3: Cross multiply
    316,711x = 490,814 × 490,814
  4. Step 4: Simplify right side
    316,711x = 240,898,382,596
  5. Step 5: Solve for x
    x = 240,898,382,596/316,711
  6. Step 6: Final answer
    x = 760,625.25

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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.