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Finding the Third Proportional to 42,718.50 and 93,753

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Solution

The third proportional to 42,718.50 and 93,753 is: 205,756.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,718.50 : 93,753 = 93,753 : x
  2. Step 2: Convert to fraction form
    42,718.50/93,753 = 93,753/x
  3. Step 3: Cross multiply
    42,718.50x = 93,753 × 93,753
  4. Step 4: Simplify right side
    42,718.50x = 8,789,625,009
  5. Step 5: Solve for x
    x = 8,789,625,009/42,718.50
  6. Step 6: Final answer
    x = 205,756.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.