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Finding the Third Proportional to 52,920.75 and 81,066.75

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Solution

The third proportional to 52,920.75 and 81,066.75 is: 124,182.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,920.75 : 81,066.75 = 81,066.75 : x
  2. Step 2: Convert to fraction form
    52,920.75/81,066.75 = 81,066.75/x
  3. Step 3: Cross multiply
    52,920.75x = 81,066.75 × 81,066.75
  4. Step 4: Simplify right side
    52,920.75x = 6,571,817,955.56
  5. Step 5: Solve for x
    x = 6,571,817,955.56/52,920.75
  6. Step 6: Final answer
    x = 124,182.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.