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Finding the Third Proportional to 138,301 and 301,734

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Solution

The third proportional to 138,301 and 301,734 is: 658,298.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,301 : 301,734 = 301,734 : x
  2. Step 2: Convert to fraction form
    138,301/301,734 = 301,734/x
  3. Step 3: Cross multiply
    138,301x = 301,734 × 301,734
  4. Step 4: Simplify right side
    138,301x = 91,043,406,756
  5. Step 5: Solve for x
    x = 91,043,406,756/138,301
  6. Step 6: Final answer
    x = 658,298.98

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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.