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Finding the Third Proportional to 154,840 and 231,656

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Solution

The third proportional to 154,840 and 231,656 is: 346,580.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,840 : 231,656 = 231,656 : x
  2. Step 2: Convert to fraction form
    154,840/231,656 = 231,656/x
  3. Step 3: Cross multiply
    154,840x = 231,656 × 231,656
  4. Step 4: Simplify right side
    154,840x = 53,664,502,336
  5. Step 5: Solve for x
    x = 53,664,502,336/154,840
  6. Step 6: Final answer
    x = 346,580.36

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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.