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Finding the Third Proportional to 138,726 and 303,136

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Solution

The third proportional to 138,726 and 303,136 is: 662,395.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,726 : 303,136 = 303,136 : x
  2. Step 2: Convert to fraction form
    138,726/303,136 = 303,136/x
  3. Step 3: Cross multiply
    138,726x = 303,136 × 303,136
  4. Step 4: Simplify right side
    138,726x = 91,891,434,496
  5. Step 5: Solve for x
    x = 91,891,434,496/138,726
  6. Step 6: Final answer
    x = 662,395.19

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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.