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Finding the Third Proportional to 138,764 and 303,210

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Solution

The third proportional to 138,764 and 303,210 is: 662,537.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,764 : 303,210 = 303,210 : x
  2. Step 2: Convert to fraction form
    138,764/303,210 = 303,210/x
  3. Step 3: Cross multiply
    138,764x = 303,210 × 303,210
  4. Step 4: Simplify right side
    138,764x = 91,936,304,100
  5. Step 5: Solve for x
    x = 91,936,304,100/138,764
  6. Step 6: Final answer
    x = 662,537.14

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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.