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Finding the Third Proportional to 316,922 and 690,708

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Solution

The third proportional to 316,922 and 690,708 is: 1,505,346.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,922 : 690,708 = 690,708 : x
  2. Step 2: Convert to fraction form
    316,922/690,708 = 690,708/x
  3. Step 3: Cross multiply
    316,922x = 690,708 × 690,708
  4. Step 4: Simplify right side
    316,922x = 477,077,541,264
  5. Step 5: Solve for x
    x = 477,077,541,264/316,922
  6. Step 6: Final answer
    x = 1,505,346.87

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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.