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Finding the Third Proportional to 4,438.81 and 9,862.92

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Solution

The third proportional to 4,438.81 and 9,862.92 is: 21,915.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,438.81 : 9,862.92 = 9,862.92 : x
  2. Step 2: Convert to fraction form
    4,438.81/9,862.92 = 9,862.92/x
  3. Step 3: Cross multiply
    4,438.81x = 9,862.92 × 9,862.92
  4. Step 4: Simplify right side
    4,438.81x = 97,277,273.06
  5. Step 5: Solve for x
    x = 97,277,273.06/4,438.81
  6. Step 6: Final answer
    x = 21,915.19

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.