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Finding the Third Proportional to 61,821 and 93,915

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Solution

The third proportional to 61,821 and 93,915 is: 142,670.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,821 : 93,915 = 93,915 : x
  2. Step 2: Convert to fraction form
    61,821/93,915 = 93,915/x
  3. Step 3: Cross multiply
    61,821x = 93,915 × 93,915
  4. Step 4: Simplify right side
    61,821x = 8,820,027,225
  5. Step 5: Solve for x
    x = 8,820,027,225/61,821
  6. Step 6: Final answer
    x = 142,670.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.