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Finding the Third Proportional to 42,943.50 and 92,246

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Solution

The third proportional to 42,943.50 and 92,246 is: 198,151.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,943.50 : 92,246 = 92,246 : x
  2. Step 2: Convert to fraction form
    42,943.50/92,246 = 92,246/x
  3. Step 3: Cross multiply
    42,943.50x = 92,246 × 92,246
  4. Step 4: Simplify right side
    42,943.50x = 8,509,324,516
  5. Step 5: Solve for x
    x = 8,509,324,516/42,943.50
  6. Step 6: Final answer
    x = 198,151.63

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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.