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Finding the Third Proportional to 342,909 and 753,692

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Solution

The third proportional to 342,909 and 753,692 is: 1,656,566.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,909 : 753,692 = 753,692 : x
  2. Step 2: Convert to fraction form
    342,909/753,692 = 753,692/x
  3. Step 3: Cross multiply
    342,909x = 753,692 × 753,692
  4. Step 4: Simplify right side
    342,909x = 568,051,630,864
  5. Step 5: Solve for x
    x = 568,051,630,864/342,909
  6. Step 6: Final answer
    x = 1,656,566.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.