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Finding the Third Proportional to 138,770 and 302,600

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Solution

The third proportional to 138,770 and 302,600 is: 659,845.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,770 : 302,600 = 302,600 : x
  2. Step 2: Convert to fraction form
    138,770/302,600 = 302,600/x
  3. Step 3: Cross multiply
    138,770x = 302,600 × 302,600
  4. Step 4: Simplify right side
    138,770x = 91,566,760,000
  5. Step 5: Solve for x
    x = 91,566,760,000/138,770
  6. Step 6: Final answer
    x = 659,845.50

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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.