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Finding the Third Proportional to 153,894 and 231,855

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Solution

The third proportional to 153,894 and 231,855 is: 349,310.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,894 : 231,855 = 231,855 : x
  2. Step 2: Convert to fraction form
    153,894/231,855 = 231,855/x
  3. Step 3: Cross multiply
    153,894x = 231,855 × 231,855
  4. Step 4: Simplify right side
    153,894x = 53,756,741,025
  5. Step 5: Solve for x
    x = 53,756,741,025/153,894
  6. Step 6: Final answer
    x = 349,310.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.