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Finding the Third Proportional to 298,701 and 656,451

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Solution

The third proportional to 298,701 and 656,451 is: 1,442,673.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,701 : 656,451 = 656,451 : x
  2. Step 2: Convert to fraction form
    298,701/656,451 = 656,451/x
  3. Step 3: Cross multiply
    298,701x = 656,451 × 656,451
  4. Step 4: Simplify right side
    298,701x = 430,927,915,401
  5. Step 5: Solve for x
    x = 430,927,915,401/298,701
  6. Step 6: Final answer
    x = 1,442,673.16

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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.