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Finding the Third Proportional to 10,519 and 22,677.50

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Solution

The third proportional to 10,519 and 22,677.50 is: 48,889.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,519 : 22,677.50 = 22,677.50 : x
  2. Step 2: Convert to fraction form
    10,519/22,677.50 = 22,677.50/x
  3. Step 3: Cross multiply
    10,519x = 22,677.50 × 22,677.50
  4. Step 4: Simplify right side
    10,519x = 514,269,006.25
  5. Step 5: Solve for x
    x = 514,269,006.25/10,519
  6. Step 6: Final answer
    x = 48,889.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.