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Finding the Third Proportional to 138,240 and 302,400

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Solution

The third proportional to 138,240 and 302,400 is: 661,500

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,240 : 302,400 = 302,400 : x
  2. Step 2: Convert to fraction form
    138,240/302,400 = 302,400/x
  3. Step 3: Cross multiply
    138,240x = 302,400 × 302,400
  4. Step 4: Simplify right side
    138,240x = 91,445,760,000
  5. Step 5: Solve for x
    x = 91,445,760,000/138,240
  6. Step 6: Final answer
    x = 661,500

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.