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Finding the Third Proportional to 51,657 and 109,515

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Solution

The third proportional to 51,657 and 109,515 is: 232,176.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,657 : 109,515 = 109,515 : x
  2. Step 2: Convert to fraction form
    51,657/109,515 = 109,515/x
  3. Step 3: Cross multiply
    51,657x = 109,515 × 109,515
  4. Step 4: Simplify right side
    51,657x = 11,993,535,225
  5. Step 5: Solve for x
    x = 11,993,535,225/51,657
  6. Step 6: Final answer
    x = 232,176.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.