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Finding the Third Proportional to 101,972.81 and 218,707.88

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Solution

The third proportional to 101,972.81 and 218,707.88 is: 469,077.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,972.81 : 218,707.88 = 218,707.88 : x
  2. Step 2: Convert to fraction form
    101,972.81/218,707.88 = 218,707.88/x
  3. Step 3: Cross multiply
    101,972.81x = 218,707.88 × 218,707.88
  4. Step 4: Simplify right side
    101,972.81x = 47,833,134,587.02
  5. Step 5: Solve for x
    x = 47,833,134,587.02/101,972.81
  6. Step 6: Final answer
    x = 469,077.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.