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Finding the Third Proportional to 78,877 and 114,715

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Solution

The third proportional to 78,877 and 114,715 is: 166,836.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,877 : 114,715 = 114,715 : x
  2. Step 2: Convert to fraction form
    78,877/114,715 = 114,715/x
  3. Step 3: Cross multiply
    78,877x = 114,715 × 114,715
  4. Step 4: Simplify right side
    78,877x = 13,159,531,225
  5. Step 5: Solve for x
    x = 13,159,531,225/78,877
  6. Step 6: Final answer
    x = 166,836.10

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.