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Finding the Third Proportional to 438,591.38 and 661,127.06

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Solution

The third proportional to 438,591.38 and 661,127.06 is: 996,574.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,591.38 : 661,127.06 = 661,127.06 : x
  2. Step 2: Convert to fraction form
    438,591.38/661,127.06 = 661,127.06/x
  3. Step 3: Cross multiply
    438,591.38x = 661,127.06 × 661,127.06
  4. Step 4: Simplify right side
    438,591.38x = 437,088,992,769.88
  5. Step 5: Solve for x
    x = 437,088,992,769.88/438,591.38
  6. Step 6: Final answer
    x = 996,574.53

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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.