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Finding the Third Proportional to 178,458 and 261,729

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Solution

The third proportional to 178,458 and 261,729 is: 383,855.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,458 : 261,729 = 261,729 : x
  2. Step 2: Convert to fraction form
    178,458/261,729 = 261,729/x
  3. Step 3: Cross multiply
    178,458x = 261,729 × 261,729
  4. Step 4: Simplify right side
    178,458x = 68,502,069,441
  5. Step 5: Solve for x
    x = 68,502,069,441/178,458
  6. Step 6: Final answer
    x = 383,855.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.