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Finding the Third Proportional to 61,776 and 133,170.75

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Solution

The third proportional to 61,776 and 133,170.75 is: 287,076.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,776 : 133,170.75 = 133,170.75 : x
  2. Step 2: Convert to fraction form
    61,776/133,170.75 = 133,170.75/x
  3. Step 3: Cross multiply
    61,776x = 133,170.75 × 133,170.75
  4. Step 4: Simplify right side
    61,776x = 17,734,448,655.56
  5. Step 5: Solve for x
    x = 17,734,448,655.56/61,776
  6. Step 6: Final answer
    x = 287,076.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.