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Finding the Third Proportional to 138,111 and 202,792

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Solution

The third proportional to 138,111 and 202,792 is: 297,764.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,111 : 202,792 = 202,792 : x
  2. Step 2: Convert to fraction form
    138,111/202,792 = 202,792/x
  3. Step 3: Cross multiply
    138,111x = 202,792 × 202,792
  4. Step 4: Simplify right side
    138,111x = 41,124,595,264
  5. Step 5: Solve for x
    x = 41,124,595,264/138,111
  6. Step 6: Final answer
    x = 297,764.81

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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.