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Finding the Third Proportional to 138,164 and 302,634

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Solution

The third proportional to 138,164 and 302,634 is: 662,888.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,164 : 302,634 = 302,634 : x
  2. Step 2: Convert to fraction form
    138,164/302,634 = 302,634/x
  3. Step 3: Cross multiply
    138,164x = 302,634 × 302,634
  4. Step 4: Simplify right side
    138,164x = 91,587,337,956
  5. Step 5: Solve for x
    x = 91,587,337,956/138,164
  6. Step 6: Final answer
    x = 662,888.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.