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Finding the Third Proportional to 138,724 and 303,132

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Solution

The third proportional to 138,724 and 303,132 is: 662,387.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,724 : 303,132 = 303,132 : x
  2. Step 2: Convert to fraction form
    138,724/303,132 = 303,132/x
  3. Step 3: Cross multiply
    138,724x = 303,132 × 303,132
  4. Step 4: Simplify right side
    138,724x = 91,889,009,424
  5. Step 5: Solve for x
    x = 91,889,009,424/138,724
  6. Step 6: Final answer
    x = 662,387.25

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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.