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Finding the Third Proportional to 43,053 and 93,729

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Solution

The third proportional to 43,053 and 93,729 is: 204,053.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,053 : 93,729 = 93,729 : x
  2. Step 2: Convert to fraction form
    43,053/93,729 = 93,729/x
  3. Step 3: Cross multiply
    43,053x = 93,729 × 93,729
  4. Step 4: Simplify right side
    43,053x = 8,785,125,441
  5. Step 5: Solve for x
    x = 8,785,125,441/43,053
  6. Step 6: Final answer
    x = 204,053.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.