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Finding the Third Proportional to 298,656 and 656,361

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Solution

The third proportional to 298,656 and 656,361 is: 1,442,494.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,656 : 656,361 = 656,361 : x
  2. Step 2: Convert to fraction form
    298,656/656,361 = 656,361/x
  3. Step 3: Cross multiply
    298,656x = 656,361 × 656,361
  4. Step 4: Simplify right side
    298,656x = 430,809,762,321
  5. Step 5: Solve for x
    x = 430,809,762,321/298,656
  6. Step 6: Final answer
    x = 1,442,494.92

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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.