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Finding the Third Proportional to 178,458 and 260,982

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Solution

The third proportional to 178,458 and 260,982 is: 381,667.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,458 : 260,982 = 260,982 : x
  2. Step 2: Convert to fraction form
    178,458/260,982 = 260,982/x
  3. Step 3: Cross multiply
    178,458x = 260,982 × 260,982
  4. Step 4: Simplify right side
    178,458x = 68,111,604,324
  5. Step 5: Solve for x
    x = 68,111,604,324/178,458
  6. Step 6: Final answer
    x = 381,667.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.