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Finding the Third Proportional to 48,481 and 101,113

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Solution

The third proportional to 48,481 and 101,113 is: 210,883.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,481 : 101,113 = 101,113 : x
  2. Step 2: Convert to fraction form
    48,481/101,113 = 101,113/x
  3. Step 3: Cross multiply
    48,481x = 101,113 × 101,113
  4. Step 4: Simplify right side
    48,481x = 10,223,838,769
  5. Step 5: Solve for x
    x = 10,223,838,769/48,481
  6. Step 6: Final answer
    x = 210,883.41

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.