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Finding the Third Proportional to 54,576 and 86,784.75

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Solution

The third proportional to 54,576 and 86,784.75 is: 138,001.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,576 : 86,784.75 = 86,784.75 : x
  2. Step 2: Convert to fraction form
    54,576/86,784.75 = 86,784.75/x
  3. Step 3: Cross multiply
    54,576x = 86,784.75 × 86,784.75
  4. Step 4: Simplify right side
    54,576x = 7,531,592,832.56
  5. Step 5: Solve for x
    x = 7,531,592,832.56/54,576
  6. Step 6: Final answer
    x = 138,001.92

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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.