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Finding the Third Proportional to 138,290.41 and 213,577.38

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Solution

The third proportional to 138,290.41 and 213,577.38 is: 329,851.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,290.41 : 213,577.38 = 213,577.38 : x
  2. Step 2: Convert to fraction form
    138,290.41/213,577.38 = 213,577.38/x
  3. Step 3: Cross multiply
    138,290.41x = 213,577.38 × 213,577.38
  4. Step 4: Simplify right side
    138,290.41x = 45,615,298,449.04
  5. Step 5: Solve for x
    x = 45,615,298,449.04/138,290.41
  6. Step 6: Final answer
    x = 329,851.49

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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.