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Finding the Third Proportional to 316,976 and 690,816

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Solution

The third proportional to 316,976 and 690,816 is: 1,505,561.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,976 : 690,816 = 690,816 : x
  2. Step 2: Convert to fraction form
    316,976/690,816 = 690,816/x
  3. Step 3: Cross multiply
    316,976x = 690,816 × 690,816
  4. Step 4: Simplify right side
    316,976x = 477,226,745,856
  5. Step 5: Solve for x
    x = 477,226,745,856/316,976
  6. Step 6: Final answer
    x = 1,505,561.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.