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Finding the Third Proportional to 154,092 and 312,422

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Solution

The third proportional to 154,092 and 312,422 is: 633,436.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,092 : 312,422 = 312,422 : x
  2. Step 2: Convert to fraction form
    154,092/312,422 = 312,422/x
  3. Step 3: Cross multiply
    154,092x = 312,422 × 312,422
  4. Step 4: Simplify right side
    154,092x = 97,607,506,084
  5. Step 5: Solve for x
    x = 97,607,506,084/154,092
  6. Step 6: Final answer
    x = 633,436.56

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.