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Finding the Third Proportional to 119,718 and 178,538

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Solution

The third proportional to 119,718 and 178,538 is: 266,257.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,718 : 178,538 = 178,538 : x
  2. Step 2: Convert to fraction form
    119,718/178,538 = 178,538/x
  3. Step 3: Cross multiply
    119,718x = 178,538 × 178,538
  4. Step 4: Simplify right side
    119,718x = 31,875,817,444
  5. Step 5: Solve for x
    x = 31,875,817,444/119,718
  6. Step 6: Final answer
    x = 266,257.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.