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Finding the Third Proportional to 138,786 and 302,625

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Solution

The third proportional to 138,786 and 302,625 is: 659,878.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,786 : 302,625 = 302,625 : x
  2. Step 2: Convert to fraction form
    138,786/302,625 = 302,625/x
  3. Step 3: Cross multiply
    138,786x = 302,625 × 302,625
  4. Step 4: Simplify right side
    138,786x = 91,581,890,625
  5. Step 5: Solve for x
    x = 91,581,890,625/138,786
  6. Step 6: Final answer
    x = 659,878.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.