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Finding the Third Proportional to 99,020.81 and 213,823.97

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Solution

The third proportional to 99,020.81 and 213,823.97 is: 461,728.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,020.81 : 213,823.97 = 213,823.97 : x
  2. Step 2: Convert to fraction form
    99,020.81/213,823.97 = 213,823.97/x
  3. Step 3: Cross multiply
    99,020.81x = 213,823.97 × 213,823.97
  4. Step 4: Simplify right side
    99,020.81x = 45,720,689,612.00
  5. Step 5: Solve for x
    x = 45,720,689,612.00/99,020.81
  6. Step 6: Final answer
    x = 461,728.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.