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Finding the Third Proportional to 138,421 and 213,764

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Solution

The third proportional to 138,421 and 213,764 is: 330,116.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,421 : 213,764 = 213,764 : x
  2. Step 2: Convert to fraction form
    138,421/213,764 = 213,764/x
  3. Step 3: Cross multiply
    138,421x = 213,764 × 213,764
  4. Step 4: Simplify right side
    138,421x = 45,695,047,696
  5. Step 5: Solve for x
    x = 45,695,047,696/138,421
  6. Step 6: Final answer
    x = 330,116.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.