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Finding the Third Proportional to 10,419 and 24,580.13

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Solution

The third proportional to 10,419 and 24,580.13 is: 57,988.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,419 : 24,580.13 = 24,580.13 : x
  2. Step 2: Convert to fraction form
    10,419/24,580.13 = 24,580.13/x
  3. Step 3: Cross multiply
    10,419x = 24,580.13 × 24,580.13
  4. Step 4: Simplify right side
    10,419x = 604,182,545.02
  5. Step 5: Solve for x
    x = 604,182,545.02/10,419
  6. Step 6: Final answer
    x = 57,988.53

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.