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Finding the Third Proportional to 64,854 and 138,078

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Solution

The third proportional to 64,854 and 138,078 is: 293,976.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,854 : 138,078 = 138,078 : x
  2. Step 2: Convert to fraction form
    64,854/138,078 = 138,078/x
  3. Step 3: Cross multiply
    64,854x = 138,078 × 138,078
  4. Step 4: Simplify right side
    64,854x = 19,065,534,084
  5. Step 5: Solve for x
    x = 19,065,534,084/64,854
  6. Step 6: Final answer
    x = 293,976.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.