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Finding the Third Proportional to 138,586 and 299,348

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Solution

The third proportional to 138,586 and 299,348 is: 646,596.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,586 : 299,348 = 299,348 : x
  2. Step 2: Convert to fraction form
    138,586/299,348 = 299,348/x
  3. Step 3: Cross multiply
    138,586x = 299,348 × 299,348
  4. Step 4: Simplify right side
    138,586x = 89,609,225,104
  5. Step 5: Solve for x
    x = 89,609,225,104/138,586
  6. Step 6: Final answer
    x = 646,596.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.