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Finding the Third Proportional to 138,144 and 202,683

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Solution

The third proportional to 138,144 and 202,683 is: 297,373.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,144 : 202,683 = 202,683 : x
  2. Step 2: Convert to fraction form
    138,144/202,683 = 202,683/x
  3. Step 3: Cross multiply
    138,144x = 202,683 × 202,683
  4. Step 4: Simplify right side
    138,144x = 41,080,398,489
  5. Step 5: Solve for x
    x = 41,080,398,489/138,144
  6. Step 6: Final answer
    x = 297,373.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.