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Finding the Third Proportional to 440,006 and 660,981

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Solution

The third proportional to 440,006 and 660,981 is: 992,931.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,006 : 660,981 = 660,981 : x
  2. Step 2: Convert to fraction form
    440,006/660,981 = 660,981/x
  3. Step 3: Cross multiply
    440,006x = 660,981 × 660,981
  4. Step 4: Simplify right side
    440,006x = 436,895,882,361
  5. Step 5: Solve for x
    x = 436,895,882,361/440,006
  6. Step 6: Final answer
    x = 992,931.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.