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Finding the Third Proportional to 660,115 and 991,632

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Solution

The third proportional to 660,115 and 991,632 is: 1,489,640.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,115 : 991,632 = 991,632 : x
  2. Step 2: Convert to fraction form
    660,115/991,632 = 991,632/x
  3. Step 3: Cross multiply
    660,115x = 991,632 × 991,632
  4. Step 4: Simplify right side
    660,115x = 983,334,023,424
  5. Step 5: Solve for x
    x = 983,334,023,424/660,115
  6. Step 6: Final answer
    x = 1,489,640.48

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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.