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Finding the Third Proportional to 98,568 and 152,910

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Solution

The third proportional to 98,568 and 152,910 is: 237,211.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,568 : 152,910 = 152,910 : x
  2. Step 2: Convert to fraction form
    98,568/152,910 = 152,910/x
  3. Step 3: Cross multiply
    98,568x = 152,910 × 152,910
  4. Step 4: Simplify right side
    98,568x = 23,381,468,100
  5. Step 5: Solve for x
    x = 23,381,468,100/98,568
  6. Step 6: Final answer
    x = 237,211.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.