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Finding the Third Proportional to 443,394 and 649,359

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Solution

The third proportional to 443,394 and 649,359 is: 950,998.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,394 : 649,359 = 649,359 : x
  2. Step 2: Convert to fraction form
    443,394/649,359 = 649,359/x
  3. Step 3: Cross multiply
    443,394x = 649,359 × 649,359
  4. Step 4: Simplify right side
    443,394x = 421,667,110,881
  5. Step 5: Solve for x
    x = 421,667,110,881/443,394
  6. Step 6: Final answer
    x = 950,998.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.