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Finding the Third Proportional to 54,579 and 74,686.50

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Solution

The third proportional to 54,579 and 74,686.50 is: 102,201.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,579 : 74,686.50 = 74,686.50 : x
  2. Step 2: Convert to fraction form
    54,579/74,686.50 = 74,686.50/x
  3. Step 3: Cross multiply
    54,579x = 74,686.50 × 74,686.50
  4. Step 4: Simplify right side
    54,579x = 5,578,073,282.25
  5. Step 5: Solve for x
    x = 5,578,073,282.25/54,579
  6. Step 6: Final answer
    x = 102,201.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.