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Finding the Third Proportional to 9,850.50 and 22,780.13

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Solution

The third proportional to 9,850.50 and 22,780.13 is: 52,680.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.50 : 22,780.13 = 22,780.13 : x
  2. Step 2: Convert to fraction form
    9,850.50/22,780.13 = 22,780.13/x
  3. Step 3: Cross multiply
    9,850.50x = 22,780.13 × 22,780.13
  4. Step 4: Simplify right side
    9,850.50x = 518,934,095.02
  5. Step 5: Solve for x
    x = 518,934,095.02/9,850.50
  6. Step 6: Final answer
    x = 52,680.99

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.