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Finding the Third Proportional to 138,254 and 303,292

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Solution

The third proportional to 138,254 and 303,292 is: 665,340.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,254 : 303,292 = 303,292 : x
  2. Step 2: Convert to fraction form
    138,254/303,292 = 303,292/x
  3. Step 3: Cross multiply
    138,254x = 303,292 × 303,292
  4. Step 4: Simplify right side
    138,254x = 91,986,037,264
  5. Step 5: Solve for x
    x = 91,986,037,264/138,254
  6. Step 6: Final answer
    x = 665,340.87

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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.