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Finding the Third Proportional to 9,770.06 and 23,040.28

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Solution

The third proportional to 9,770.06 and 23,040.28 is: 54,334.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.06 : 23,040.28 = 23,040.28 : x
  2. Step 2: Convert to fraction form
    9,770.06/23,040.28 = 23,040.28/x
  3. Step 3: Cross multiply
    9,770.06x = 23,040.28 × 23,040.28
  4. Step 4: Simplify right side
    9,770.06x = 530,854,560.08
  5. Step 5: Solve for x
    x = 530,854,560.08/9,770.06
  6. Step 6: Final answer
    x = 54,334.82

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.