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Finding the Third Proportional to 660,006 and 991,467

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Solution

The third proportional to 660,006 and 991,467 is: 1,489,390.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,006 : 991,467 = 991,467 : x
  2. Step 2: Convert to fraction form
    660,006/991,467 = 991,467/x
  3. Step 3: Cross multiply
    660,006x = 991,467 × 991,467
  4. Step 4: Simplify right side
    660,006x = 983,006,812,089
  5. Step 5: Solve for x
    x = 983,006,812,089/660,006
  6. Step 6: Final answer
    x = 1,489,390.72

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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.