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Finding the Third Proportional to 9,598.50 and 22,128.19

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Solution

The third proportional to 9,598.50 and 22,128.19 is: 51,013.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,598.50 : 22,128.19 = 22,128.19 : x
  2. Step 2: Convert to fraction form
    9,598.50/22,128.19 = 22,128.19/x
  3. Step 3: Cross multiply
    9,598.50x = 22,128.19 × 22,128.19
  4. Step 4: Simplify right side
    9,598.50x = 489,656,682.04
  5. Step 5: Solve for x
    x = 489,656,682.04/9,598.50
  6. Step 6: Final answer
    x = 51,013.88

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.