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Finding the Third Proportional to 61,056 and 91,080

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Solution

The third proportional to 61,056 and 91,080 is: 135,868.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,056 : 91,080 = 91,080 : x
  2. Step 2: Convert to fraction form
    61,056/91,080 = 91,080/x
  3. Step 3: Cross multiply
    61,056x = 91,080 × 91,080
  4. Step 4: Simplify right side
    61,056x = 8,295,566,400
  5. Step 5: Solve for x
    x = 8,295,566,400/61,056
  6. Step 6: Final answer
    x = 135,868.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.