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Finding the Third Proportional to 78,057 and 99,087.75

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Solution

The third proportional to 78,057 and 99,087.75 is: 125,784.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,057 : 99,087.75 = 99,087.75 : x
  2. Step 2: Convert to fraction form
    78,057/99,087.75 = 99,087.75/x
  3. Step 3: Cross multiply
    78,057x = 99,087.75 × 99,087.75
  4. Step 4: Simplify right side
    78,057x = 9,818,382,200.06
  5. Step 5: Solve for x
    x = 9,818,382,200.06/78,057
  6. Step 6: Final answer
    x = 125,784.78

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.