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Finding the Third Proportional to 84,751.50 and 128,220.38

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Solution

The third proportional to 84,751.50 and 128,220.38 is: 193,984.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,751.50 : 128,220.38 = 128,220.38 : x
  2. Step 2: Convert to fraction form
    84,751.50/128,220.38 = 128,220.38/x
  3. Step 3: Cross multiply
    84,751.50x = 128,220.38 × 128,220.38
  4. Step 4: Simplify right side
    84,751.50x = 16,440,464,565.14
  5. Step 5: Solve for x
    x = 16,440,464,565.14/84,751.50
  6. Step 6: Final answer
    x = 193,984.35

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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.