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Finding the Third Proportional to 119,072 and 178,480

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Solution

The third proportional to 119,072 and 178,480 is: 267,528.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,072 : 178,480 = 178,480 : x
  2. Step 2: Convert to fraction form
    119,072/178,480 = 178,480/x
  3. Step 3: Cross multiply
    119,072x = 178,480 × 178,480
  4. Step 4: Simplify right side
    119,072x = 31,855,110,400
  5. Step 5: Solve for x
    x = 31,855,110,400/119,072
  6. Step 6: Final answer
    x = 267,528.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.