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Finding the Third Proportional to 84,753.42 and 128,223.84

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Solution

The third proportional to 84,753.42 and 128,223.84 is: 193,990.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,753.42 : 128,223.84 = 128,223.84 : x
  2. Step 2: Convert to fraction form
    84,753.42/128,223.84 = 128,223.84/x
  3. Step 3: Cross multiply
    84,753.42x = 128,223.84 × 128,223.84
  4. Step 4: Simplify right side
    84,753.42x = 16,441,354,106.02
  5. Step 5: Solve for x
    x = 16,441,354,106.02/84,753.42
  6. Step 6: Final answer
    x = 193,990.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.