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Finding the Third Proportional to 645,987 and 991,578

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Solution

The third proportional to 645,987 and 991,578 is: 1,522,053.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,987 : 991,578 = 991,578 : x
  2. Step 2: Convert to fraction form
    645,987/991,578 = 991,578/x
  3. Step 3: Cross multiply
    645,987x = 991,578 × 991,578
  4. Step 4: Simplify right side
    645,987x = 983,226,930,084
  5. Step 5: Solve for x
    x = 983,226,930,084/645,987
  6. Step 6: Final answer
    x = 1,522,053.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.