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Finding the Third Proportional to 8,770.78 and 23,362.17

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Solution

The third proportional to 8,770.78 and 23,362.17 is: 62,228.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,770.78 : 23,362.17 = 23,362.17 : x
  2. Step 2: Convert to fraction form
    8,770.78/23,362.17 = 23,362.17/x
  3. Step 3: Cross multiply
    8,770.78x = 23,362.17 × 23,362.17
  4. Step 4: Simplify right side
    8,770.78x = 545,791,074.72
  5. Step 5: Solve for x
    x = 545,791,074.72/8,770.78
  6. Step 6: Final answer
    x = 62,228.33

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Why These Related Problems?

These problems maintain the same ratio (2.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.