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Finding the Third Proportional to 10,600.88 and 23,510.25

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Solution

The third proportional to 10,600.88 and 23,510.25 is: 52,140.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,600.88 : 23,510.25 = 23,510.25 : x
  2. Step 2: Convert to fraction form
    10,600.88/23,510.25 = 23,510.25/x
  3. Step 3: Cross multiply
    10,600.88x = 23,510.25 × 23,510.25
  4. Step 4: Simplify right side
    10,600.88x = 552,731,855.06
  5. Step 5: Solve for x
    x = 552,731,855.06/10,600.88
  6. Step 6: Final answer
    x = 52,140.21

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.