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Finding the Third Proportional to 61,939 and 78,328.50

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Solution

The third proportional to 61,939 and 78,328.50 is: 99,054.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,939 : 78,328.50 = 78,328.50 : x
  2. Step 2: Convert to fraction form
    61,939/78,328.50 = 78,328.50/x
  3. Step 3: Cross multiply
    61,939x = 78,328.50 × 78,328.50
  4. Step 4: Simplify right side
    61,939x = 6,135,353,912.25
  5. Step 5: Solve for x
    x = 6,135,353,912.25/61,939
  6. Step 6: Final answer
    x = 99,054.78

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.