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Finding the Third Proportional to 438,209.50 and 660,198.50

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Solution

The third proportional to 438,209.50 and 660,198.50 is: 994,643.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,209.50 : 660,198.50 = 660,198.50 : x
  2. Step 2: Convert to fraction form
    438,209.50/660,198.50 = 660,198.50/x
  3. Step 3: Cross multiply
    438,209.50x = 660,198.50 × 660,198.50
  4. Step 4: Simplify right side
    438,209.50x = 435,862,059,402.25
  5. Step 5: Solve for x
    x = 435,862,059,402.25/438,209.50
  6. Step 6: Final answer
    x = 994,643.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.