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Finding the Third Proportional to 178,804 and 247,886

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Solution

The third proportional to 178,804 and 247,886 is: 343,658.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,804 : 247,886 = 247,886 : x
  2. Step 2: Convert to fraction form
    178,804/247,886 = 247,886/x
  3. Step 3: Cross multiply
    178,804x = 247,886 × 247,886
  4. Step 4: Simplify right side
    178,804x = 61,447,468,996
  5. Step 5: Solve for x
    x = 61,447,468,996/178,804
  6. Step 6: Final answer
    x = 343,658.25

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.