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Finding the Third Proportional to 660,121.50 and 991,642.50

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Solution

The third proportional to 660,121.50 and 991,642.50 is: 1,489,657.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,121.50 : 991,642.50 = 991,642.50 : x
  2. Step 2: Convert to fraction form
    660,121.50/991,642.50 = 991,642.50/x
  3. Step 3: Cross multiply
    660,121.50x = 991,642.50 × 991,642.50
  4. Step 4: Simplify right side
    660,121.50x = 983,354,847,806.25
  5. Step 5: Solve for x
    x = 983,354,847,806.25/660,121.50
  6. Step 6: Final answer
    x = 1,489,657.36

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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.