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Finding the Third Proportional to 138,754 and 304,784

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Solution

The third proportional to 138,754 and 304,784 is: 669,481.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,754 : 304,784 = 304,784 : x
  2. Step 2: Convert to fraction form
    138,754/304,784 = 304,784/x
  3. Step 3: Cross multiply
    138,754x = 304,784 × 304,784
  4. Step 4: Simplify right side
    138,754x = 92,893,286,656
  5. Step 5: Solve for x
    x = 92,893,286,656/138,754
  6. Step 6: Final answer
    x = 669,481.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.