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Finding the Third Proportional to 10,902.94 and 20,438.16

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Solution

The third proportional to 10,902.94 and 20,438.16 is: 38,312.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902.94 : 20,438.16 = 20,438.16 : x
  2. Step 2: Convert to fraction form
    10,902.94/20,438.16 = 20,438.16/x
  3. Step 3: Cross multiply
    10,902.94x = 20,438.16 × 20,438.16
  4. Step 4: Simplify right side
    10,902.94x = 417,718,230.90
  5. Step 5: Solve for x
    x = 417,718,230.90/10,902.94
  6. Step 6: Final answer
    x = 38,312.45

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.