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Finding the Third Proportional to 138,438 and 213,888

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Solution

The third proportional to 138,438 and 213,888 is: 330,458.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,438 : 213,888 = 213,888 : x
  2. Step 2: Convert to fraction form
    138,438/213,888 = 213,888/x
  3. Step 3: Cross multiply
    138,438x = 213,888 × 213,888
  4. Step 4: Simplify right side
    138,438x = 45,748,076,544
  5. Step 5: Solve for x
    x = 45,748,076,544/138,438
  6. Step 6: Final answer
    x = 330,458.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.