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Finding the Third Proportional to 54,178 and 86,515

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Solution

The third proportional to 54,178 and 86,515 is: 138,152.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,178 : 86,515 = 86,515 : x
  2. Step 2: Convert to fraction form
    54,178/86,515 = 86,515/x
  3. Step 3: Cross multiply
    54,178x = 86,515 × 86,515
  4. Step 4: Simplify right side
    54,178x = 7,484,845,225
  5. Step 5: Solve for x
    x = 7,484,845,225/54,178
  6. Step 6: Final answer
    x = 138,152.85

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.