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Finding the Third Proportional to 438,620.25 and 661,170.38

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Solution

The third proportional to 438,620.25 and 661,170.38 is: 996,639.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,620.25 : 661,170.38 = 661,170.38 : x
  2. Step 2: Convert to fraction form
    438,620.25/661,170.38 = 661,170.38/x
  3. Step 3: Cross multiply
    438,620.25x = 661,170.38 × 661,170.38
  4. Step 4: Simplify right side
    438,620.25x = 437,146,264,777.64
  5. Step 5: Solve for x
    x = 437,146,264,777.64/438,620.25
  6. Step 6: Final answer
    x = 996,639.50

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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.