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Finding the Third Proportional to 138,685 and 283,943

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Solution

The third proportional to 138,685 and 283,943 is: 581,343.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,685 : 283,943 = 283,943 : x
  2. Step 2: Convert to fraction form
    138,685/283,943 = 283,943/x
  3. Step 3: Cross multiply
    138,685x = 283,943 × 283,943
  4. Step 4: Simplify right side
    138,685x = 80,623,627,249
  5. Step 5: Solve for x
    x = 80,623,627,249/138,685
  6. Step 6: Final answer
    x = 581,343.53

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.