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Finding the Third Proportional to 76,498.50 and 107,535.75

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Solution

The third proportional to 76,498.50 and 107,535.75 is: 151,165.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,498.50 : 107,535.75 = 107,535.75 : x
  2. Step 2: Convert to fraction form
    76,498.50/107,535.75 = 107,535.75/x
  3. Step 3: Cross multiply
    76,498.50x = 107,535.75 × 107,535.75
  4. Step 4: Simplify right side
    76,498.50x = 11,563,937,528.06
  5. Step 5: Solve for x
    x = 11,563,937,528.06/76,498.50
  6. Step 6: Final answer
    x = 151,165.55

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.