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Finding the Third Proportional to 154,560 and 325,725

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Solution

The third proportional to 154,560 and 325,725 is: 686,443.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,560 : 325,725 = 325,725 : x
  2. Step 2: Convert to fraction form
    154,560/325,725 = 325,725/x
  3. Step 3: Cross multiply
    154,560x = 325,725 × 325,725
  4. Step 4: Simplify right side
    154,560x = 106,096,775,625
  5. Step 5: Solve for x
    x = 106,096,775,625/154,560
  6. Step 6: Final answer
    x = 686,443.94

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.