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Finding the Third Proportional to 138,320 and 302,688

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Solution

The third proportional to 138,320 and 302,688 is: 662,377.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,320 : 302,688 = 302,688 : x
  2. Step 2: Convert to fraction form
    138,320/302,688 = 302,688/x
  3. Step 3: Cross multiply
    138,320x = 302,688 × 302,688
  4. Step 4: Simplify right side
    138,320x = 91,620,025,344
  5. Step 5: Solve for x
    x = 91,620,025,344/138,320
  6. Step 6: Final answer
    x = 662,377.28

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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.