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Finding the Third Proportional to 431,115.75 and 652,637.25

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Solution

The third proportional to 431,115.75 and 652,637.25 is: 987,983.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,115.75 : 652,637.25 = 652,637.25 : x
  2. Step 2: Convert to fraction form
    431,115.75/652,637.25 = 652,637.25/x
  3. Step 3: Cross multiply
    431,115.75x = 652,637.25 × 652,637.25
  4. Step 4: Simplify right side
    431,115.75x = 425,935,380,087.56
  5. Step 5: Solve for x
    x = 425,935,380,087.56/431,115.75
  6. Step 6: Final answer
    x = 987,983.81

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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.