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Finding the Third Proportional to 61,977 and 135,505.50

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Solution

The third proportional to 61,977 and 135,505.50 is: 296,267.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,977 : 135,505.50 = 135,505.50 : x
  2. Step 2: Convert to fraction form
    61,977/135,505.50 = 135,505.50/x
  3. Step 3: Cross multiply
    61,977x = 135,505.50 × 135,505.50
  4. Step 4: Simplify right side
    61,977x = 18,361,740,530.25
  5. Step 5: Solve for x
    x = 18,361,740,530.25/61,977
  6. Step 6: Final answer
    x = 296,267.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.