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Finding the Third Proportional to 54,643.75 and 86,888.63

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Solution

The third proportional to 54,643.75 and 86,888.63 is: 138,160.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,643.75 : 86,888.63 = 86,888.63 : x
  2. Step 2: Convert to fraction form
    54,643.75/86,888.63 = 86,888.63/x
  3. Step 3: Cross multiply
    54,643.75x = 86,888.63 × 86,888.63
  4. Step 4: Simplify right side
    54,643.75x = 7,549,633,154.39
  5. Step 5: Solve for x
    x = 7,549,633,154.39/54,643.75
  6. Step 6: Final answer
    x = 138,160.96

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.