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Finding the Third Proportional to 138,072 and 204,480

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Solution

The third proportional to 138,072 and 204,480 is: 302,828.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,072 : 204,480 = 204,480 : x
  2. Step 2: Convert to fraction form
    138,072/204,480 = 204,480/x
  3. Step 3: Cross multiply
    138,072x = 204,480 × 204,480
  4. Step 4: Simplify right side
    138,072x = 41,812,070,400
  5. Step 5: Solve for x
    x = 41,812,070,400/138,072
  6. Step 6: Final answer
    x = 302,828.02

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.