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Finding the Third Proportional to 283,363 and 392,743

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Solution

The third proportional to 283,363 and 392,743 is: 544,344.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,363 : 392,743 = 392,743 : x
  2. Step 2: Convert to fraction form
    283,363/392,743 = 392,743/x
  3. Step 3: Cross multiply
    283,363x = 392,743 × 392,743
  4. Step 4: Simplify right side
    283,363x = 154,247,064,049
  5. Step 5: Solve for x
    x = 154,247,064,049/283,363
  6. Step 6: Final answer
    x = 544,344.41

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.