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Finding the Third Proportional to 316,272 and 680,901

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Solution

The third proportional to 316,272 and 680,901 is: 1,465,909.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,272 : 680,901 = 680,901 : x
  2. Step 2: Convert to fraction form
    316,272/680,901 = 680,901/x
  3. Step 3: Cross multiply
    316,272x = 680,901 × 680,901
  4. Step 4: Simplify right side
    316,272x = 463,626,171,801
  5. Step 5: Solve for x
    x = 463,626,171,801/316,272
  6. Step 6: Final answer
    x = 1,465,909.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.