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Finding the Third Proportional to 45,390 and 99,738

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Solution

The third proportional to 45,390 and 99,738 is: 219,159.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,390 : 99,738 = 99,738 : x
  2. Step 2: Convert to fraction form
    45,390/99,738 = 99,738/x
  3. Step 3: Cross multiply
    45,390x = 99,738 × 99,738
  4. Step 4: Simplify right side
    45,390x = 9,947,668,644
  5. Step 5: Solve for x
    x = 9,947,668,644/45,390
  6. Step 6: Final answer
    x = 219,159.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.