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Finding the Third Proportional to 54,642 and 86,886

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Solution

The third proportional to 54,642 and 86,886 is: 138,157.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,642 : 86,886 = 86,886 : x
  2. Step 2: Convert to fraction form
    54,642/86,886 = 86,886/x
  3. Step 3: Cross multiply
    54,642x = 86,886 × 86,886
  4. Step 4: Simplify right side
    54,642x = 7,549,176,996
  5. Step 5: Solve for x
    x = 7,549,176,996/54,642
  6. Step 6: Final answer
    x = 138,157.04

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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.