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Finding the Third Proportional to 64,689.47 and 137,067.19

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Solution

The third proportional to 64,689.47 and 137,067.19 is: 290,424.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,689.47 : 137,067.19 = 137,067.19 : x
  2. Step 2: Convert to fraction form
    64,689.47/137,067.19 = 137,067.19/x
  3. Step 3: Cross multiply
    64,689.47x = 137,067.19 × 137,067.19
  4. Step 4: Simplify right side
    64,689.47x = 18,787,413,889.16
  5. Step 5: Solve for x
    x = 18,787,413,889.16/64,689.47
  6. Step 6: Final answer
    x = 290,424.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.