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Finding the Third Proportional to 53,424 and 82,716.75

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Solution

The third proportional to 53,424 and 82,716.75 is: 128,070.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,424 : 82,716.75 = 82,716.75 : x
  2. Step 2: Convert to fraction form
    53,424/82,716.75 = 82,716.75/x
  3. Step 3: Cross multiply
    53,424x = 82,716.75 × 82,716.75
  4. Step 4: Simplify right side
    53,424x = 6,842,060,730.56
  5. Step 5: Solve for x
    x = 6,842,060,730.56/53,424
  6. Step 6: Final answer
    x = 128,070.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.