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Finding the Third Proportional to 431,108 and 652,625

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Solution

The third proportional to 431,108 and 652,625 is: 987,964.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,108 : 652,625 = 652,625 : x
  2. Step 2: Convert to fraction form
    431,108/652,625 = 652,625/x
  3. Step 3: Cross multiply
    431,108x = 652,625 × 652,625
  4. Step 4: Simplify right side
    431,108x = 425,919,390,625
  5. Step 5: Solve for x
    x = 425,919,390,625/431,108
  6. Step 6: Final answer
    x = 987,964.48

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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.