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Finding the Third Proportional to 54,577 and 81,528.50

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Solution

The third proportional to 54,577 and 81,528.50 is: 121,789.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,577 : 81,528.50 = 81,528.50 : x
  2. Step 2: Convert to fraction form
    54,577/81,528.50 = 81,528.50/x
  3. Step 3: Cross multiply
    54,577x = 81,528.50 × 81,528.50
  4. Step 4: Simplify right side
    54,577x = 6,646,896,312.25
  5. Step 5: Solve for x
    x = 6,646,896,312.25/54,577
  6. Step 6: Final answer
    x = 121,789.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.