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Finding the Third Proportional to 285,743 and 391,832

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Solution

The third proportional to 285,743 and 391,832 is: 537,309.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,743 : 391,832 = 391,832 : x
  2. Step 2: Convert to fraction form
    285,743/391,832 = 391,832/x
  3. Step 3: Cross multiply
    285,743x = 391,832 × 391,832
  4. Step 4: Simplify right side
    285,743x = 153,532,316,224
  5. Step 5: Solve for x
    x = 153,532,316,224/285,743
  6. Step 6: Final answer
    x = 537,309.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.