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Finding the Third Proportional to 153,105 and 217,750

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Solution

The third proportional to 153,105 and 217,750 is: 309,689.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,105 : 217,750 = 217,750 : x
  2. Step 2: Convert to fraction form
    153,105/217,750 = 217,750/x
  3. Step 3: Cross multiply
    153,105x = 217,750 × 217,750
  4. Step 4: Simplify right side
    153,105x = 47,415,062,500
  5. Step 5: Solve for x
    x = 47,415,062,500/153,105
  6. Step 6: Final answer
    x = 309,689.84

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.