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Finding the Third Proportional to 154,864 and 231,688

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Solution

The third proportional to 154,864 and 231,688 is: 346,622.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,864 : 231,688 = 231,688 : x
  2. Step 2: Convert to fraction form
    154,864/231,688 = 231,688/x
  3. Step 3: Cross multiply
    154,864x = 231,688 × 231,688
  4. Step 4: Simplify right side
    154,864x = 53,679,329,344
  5. Step 5: Solve for x
    x = 53,679,329,344/154,864
  6. Step 6: Final answer
    x = 346,622.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.