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Finding the Third Proportional to 10,682.50 and 23,376

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Solution

The third proportional to 10,682.50 and 23,376 is: 51,152.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682.50 : 23,376 = 23,376 : x
  2. Step 2: Convert to fraction form
    10,682.50/23,376 = 23,376/x
  3. Step 3: Cross multiply
    10,682.50x = 23,376 × 23,376
  4. Step 4: Simplify right side
    10,682.50x = 546,437,376
  5. Step 5: Solve for x
    x = 546,437,376/10,682.50
  6. Step 6: Final answer
    x = 51,152.57

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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.