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Finding the Third Proportional to 61,056 and 126,032

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Solution

The third proportional to 61,056 and 126,032 is: 260,155.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,056 : 126,032 = 126,032 : x
  2. Step 2: Convert to fraction form
    61,056/126,032 = 126,032/x
  3. Step 3: Cross multiply
    61,056x = 126,032 × 126,032
  4. Step 4: Simplify right side
    61,056x = 15,884,065,024
  5. Step 5: Solve for x
    x = 15,884,065,024/61,056
  6. Step 6: Final answer
    x = 260,155.68

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.