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Finding the Third Proportional to 54,698 and 87,028

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Solution

The third proportional to 54,698 and 87,028 is: 138,467.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,698 : 87,028 = 87,028 : x
  2. Step 2: Convert to fraction form
    54,698/87,028 = 87,028/x
  3. Step 3: Cross multiply
    54,698x = 87,028 × 87,028
  4. Step 4: Simplify right side
    54,698x = 7,573,872,784
  5. Step 5: Solve for x
    x = 7,573,872,784/54,698
  6. Step 6: Final answer
    x = 138,467.09

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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.