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Finding the Third Proportional to 316,965 and 660,246

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Solution

The third proportional to 316,965 and 660,246 is: 1,375,308.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,965 : 660,246 = 660,246 : x
  2. Step 2: Convert to fraction form
    316,965/660,246 = 660,246/x
  3. Step 3: Cross multiply
    316,965x = 660,246 × 660,246
  4. Step 4: Simplify right side
    316,965x = 435,924,780,516
  5. Step 5: Solve for x
    x = 435,924,780,516/316,965
  6. Step 6: Final answer
    x = 1,375,308.88

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.