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Finding the Third Proportional to 128,380 and 170,385.75

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Solution

The third proportional to 128,380 and 170,385.75 is: 226,135.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,380 : 170,385.75 = 170,385.75 : x
  2. Step 2: Convert to fraction form
    128,380/170,385.75 = 170,385.75/x
  3. Step 3: Cross multiply
    128,380x = 170,385.75 × 170,385.75
  4. Step 4: Simplify right side
    128,380x = 29,031,303,803.06
  5. Step 5: Solve for x
    x = 29,031,303,803.06/128,380
  6. Step 6: Final answer
    x = 226,135.72

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.