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Finding the Third Proportional to 9,848.25 and 15,258.38

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Solution

The third proportional to 9,848.25 and 15,258.38 is: 23,640.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,848.25 : 15,258.38 = 15,258.38 : x
  2. Step 2: Convert to fraction form
    9,848.25/15,258.38 = 15,258.38/x
  3. Step 3: Cross multiply
    9,848.25x = 15,258.38 × 15,258.38
  4. Step 4: Simplify right side
    9,848.25x = 232,818,007.64
  5. Step 5: Solve for x
    x = 232,818,007.64/9,848.25
  6. Step 6: Final answer
    x = 23,640.55

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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.