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Finding the Third Proportional to 8,775.84 and 13,613.06

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Solution

The third proportional to 8,775.84 and 13,613.06 is: 21,116.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,775.84 : 13,613.06 = 13,613.06 : x
  2. Step 2: Convert to fraction form
    8,775.84/13,613.06 = 13,613.06/x
  3. Step 3: Cross multiply
    8,775.84x = 13,613.06 × 13,613.06
  4. Step 4: Simplify right side
    8,775.84x = 185,315,470.63
  5. Step 5: Solve for x
    x = 185,315,470.63/8,775.84
  6. Step 6: Final answer
    x = 21,116.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.