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Finding the Third Proportional to 42,970 and 92,288

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Solution

The third proportional to 42,970 and 92,288 is: 198,209.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,970 : 92,288 = 92,288 : x
  2. Step 2: Convert to fraction form
    42,970/92,288 = 92,288/x
  3. Step 3: Cross multiply
    42,970x = 92,288 × 92,288
  4. Step 4: Simplify right side
    42,970x = 8,517,074,944
  5. Step 5: Solve for x
    x = 8,517,074,944/42,970
  6. Step 6: Final answer
    x = 198,209.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.