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Finding the Third Proportional to 60,078 and 84,509

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Solution

The third proportional to 60,078 and 84,509 is: 118,874.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,078 : 84,509 = 84,509 : x
  2. Step 2: Convert to fraction form
    60,078/84,509 = 84,509/x
  3. Step 3: Cross multiply
    60,078x = 84,509 × 84,509
  4. Step 4: Simplify right side
    60,078x = 7,141,771,081
  5. Step 5: Solve for x
    x = 7,141,771,081/60,078
  6. Step 6: Final answer
    x = 118,874.98

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.