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Finding the Third Proportional to 158,470 and 217,285

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Solution

The third proportional to 158,470 and 217,285 is: 297,928.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,470 : 217,285 = 217,285 : x
  2. Step 2: Convert to fraction form
    158,470/217,285 = 217,285/x
  3. Step 3: Cross multiply
    158,470x = 217,285 × 217,285
  4. Step 4: Simplify right side
    158,470x = 47,212,771,225
  5. Step 5: Solve for x
    x = 47,212,771,225/158,470
  6. Step 6: Final answer
    x = 297,928.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.