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Finding the Third Proportional to 138,620 and 300,548

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Solution

The third proportional to 138,620 and 300,548 is: 651,631.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,620 : 300,548 = 300,548 : x
  2. Step 2: Convert to fraction form
    138,620/300,548 = 300,548/x
  3. Step 3: Cross multiply
    138,620x = 300,548 × 300,548
  4. Step 4: Simplify right side
    138,620x = 90,329,100,304
  5. Step 5: Solve for x
    x = 90,329,100,304/138,620
  6. Step 6: Final answer
    x = 651,631.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.