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Finding the Third Proportional to 138,128 and 302,604

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Solution

The third proportional to 138,128 and 302,604 is: 662,929.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,128 : 302,604 = 302,604 : x
  2. Step 2: Convert to fraction form
    138,128/302,604 = 302,604/x
  3. Step 3: Cross multiply
    138,128x = 302,604 × 302,604
  4. Step 4: Simplify right side
    138,128x = 91,569,180,816
  5. Step 5: Solve for x
    x = 91,569,180,816/138,128
  6. Step 6: Final answer
    x = 662,929.90

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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.