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Finding the Third Proportional to 138,850 and 302,828

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Solution

The third proportional to 138,850 and 302,828 is: 660,459.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,850 : 302,828 = 302,828 : x
  2. Step 2: Convert to fraction form
    138,850/302,828 = 302,828/x
  3. Step 3: Cross multiply
    138,850x = 302,828 × 302,828
  4. Step 4: Simplify right side
    138,850x = 91,704,797,584
  5. Step 5: Solve for x
    x = 91,704,797,584/138,850
  6. Step 6: Final answer
    x = 660,459.47

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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.