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Finding the Third Proportional to 54,585 and 86,797.50

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Solution

The third proportional to 54,585 and 86,797.50 is: 138,019.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,585 : 86,797.50 = 86,797.50 : x
  2. Step 2: Convert to fraction form
    54,585/86,797.50 = 86,797.50/x
  3. Step 3: Cross multiply
    54,585x = 86,797.50 × 86,797.50
  4. Step 4: Simplify right side
    54,585x = 7,533,806,006.25
  5. Step 5: Solve for x
    x = 7,533,806,006.25/54,585
  6. Step 6: Final answer
    x = 138,019.71

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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.