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Finding the Third Proportional to 316,779 and 659,769

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Solution

The third proportional to 316,779 and 659,769 is: 1,374,128.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,779 : 659,769 = 659,769 : x
  2. Step 2: Convert to fraction form
    316,779/659,769 = 659,769/x
  3. Step 3: Cross multiply
    316,779x = 659,769 × 659,769
  4. Step 4: Simplify right side
    316,779x = 435,295,133,361
  5. Step 5: Solve for x
    x = 435,295,133,361/316,779
  6. Step 6: Final answer
    x = 1,374,128.76

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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.