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Finding the Third Proportional to 62,505 and 93,764.25

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Solution

The third proportional to 62,505 and 93,764.25 is: 140,656.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,505 : 93,764.25 = 93,764.25 : x
  2. Step 2: Convert to fraction form
    62,505/93,764.25 = 93,764.25/x
  3. Step 3: Cross multiply
    62,505x = 93,764.25 × 93,764.25
  4. Step 4: Simplify right side
    62,505x = 8,791,734,578.06
  5. Step 5: Solve for x
    x = 8,791,734,578.06/62,505
  6. Step 6: Final answer
    x = 140,656.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.