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Finding the Third Proportional to 8,581.78 and 13,563.70

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Solution

The third proportional to 8,581.78 and 13,563.70 is: 21,437.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,581.78 : 13,563.70 = 13,563.70 : x
  2. Step 2: Convert to fraction form
    8,581.78/13,563.70 = 13,563.70/x
  3. Step 3: Cross multiply
    8,581.78x = 13,563.70 × 13,563.70
  4. Step 4: Simplify right side
    8,581.78x = 183,974,042.46
  5. Step 5: Solve for x
    x = 183,974,042.46/8,581.78
  6. Step 6: Final answer
    x = 21,437.75

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.