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Finding the Third Proportional to 28,681 and 67,481

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Solution

The third proportional to 28,681 and 67,481 is: 158,770.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,681 : 67,481 = 67,481 : x
  2. Step 2: Convert to fraction form
    28,681/67,481 = 67,481/x
  3. Step 3: Cross multiply
    28,681x = 67,481 × 67,481
  4. Step 4: Simplify right side
    28,681x = 4,553,685,361
  5. Step 5: Solve for x
    x = 4,553,685,361/28,681
  6. Step 6: Final answer
    x = 158,770.10

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.