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Finding the Third Proportional to 42,730 and 92,749

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Solution

The third proportional to 42,730 and 92,749 is: 201,319.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,730 : 92,749 = 92,749 : x
  2. Step 2: Convert to fraction form
    42,730/92,749 = 92,749/x
  3. Step 3: Cross multiply
    42,730x = 92,749 × 92,749
  4. Step 4: Simplify right side
    42,730x = 8,602,377,001
  5. Step 5: Solve for x
    x = 8,602,377,001/42,730
  6. Step 6: Final answer
    x = 201,319.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.