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Finding the Third Proportional to 582,638 and 787,189

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Solution

The third proportional to 582,638 and 787,189 is: 1,063,553.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,638 : 787,189 = 787,189 : x
  2. Step 2: Convert to fraction form
    582,638/787,189 = 787,189/x
  3. Step 3: Cross multiply
    582,638x = 787,189 × 787,189
  4. Step 4: Simplify right side
    582,638x = 619,666,521,721
  5. Step 5: Solve for x
    x = 619,666,521,721/582,638
  6. Step 6: Final answer
    x = 1,063,553.22

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.