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Finding the Third Proportional to 660,096 and 991,602

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Solution

The third proportional to 660,096 and 991,602 is: 1,489,593.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,096 : 991,602 = 991,602 : x
  2. Step 2: Convert to fraction form
    660,096/991,602 = 991,602/x
  3. Step 3: Cross multiply
    660,096x = 991,602 × 991,602
  4. Step 4: Simplify right side
    660,096x = 983,274,526,404
  5. Step 5: Solve for x
    x = 983,274,526,404/660,096
  6. Step 6: Final answer
    x = 1,489,593.22

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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.