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Finding the Third Proportional to 154,899 and 229,471

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Solution

The third proportional to 154,899 and 229,471 is: 339,943.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,899 : 229,471 = 229,471 : x
  2. Step 2: Convert to fraction form
    154,899/229,471 = 229,471/x
  3. Step 3: Cross multiply
    154,899x = 229,471 × 229,471
  4. Step 4: Simplify right side
    154,899x = 52,656,939,841
  5. Step 5: Solve for x
    x = 52,656,939,841/154,899
  6. Step 6: Final answer
    x = 339,943.70

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.