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Finding the Third Proportional to 10,989 and 24,060.38

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Solution

The third proportional to 10,989 and 24,060.38 is: 52,680.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,989 : 24,060.38 = 24,060.38 : x
  2. Step 2: Convert to fraction form
    10,989/24,060.38 = 24,060.38/x
  3. Step 3: Cross multiply
    10,989x = 24,060.38 × 24,060.38
  4. Step 4: Simplify right side
    10,989x = 578,901,645.14
  5. Step 5: Solve for x
    x = 578,901,645.14/10,989
  6. Step 6: Final answer
    x = 52,680.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.