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Finding the Third Proportional to 88,142.75 and 128,521.75

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Solution

The third proportional to 88,142.75 and 128,521.75 is: 187,398.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,142.75 : 128,521.75 = 128,521.75 : x
  2. Step 2: Convert to fraction form
    88,142.75/128,521.75 = 128,521.75/x
  3. Step 3: Cross multiply
    88,142.75x = 128,521.75 × 128,521.75
  4. Step 4: Simplify right side
    88,142.75x = 16,517,840,223.06
  5. Step 5: Solve for x
    x = 16,517,840,223.06/88,142.75
  6. Step 6: Final answer
    x = 187,398.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.