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Finding the Third Proportional to 77,715 and 114,930.75

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Solution

The third proportional to 77,715 and 114,930.75 is: 169,968.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,715 : 114,930.75 = 114,930.75 : x
  2. Step 2: Convert to fraction form
    77,715/114,930.75 = 114,930.75/x
  3. Step 3: Cross multiply
    77,715x = 114,930.75 × 114,930.75
  4. Step 4: Simplify right side
    77,715x = 13,209,077,295.56
  5. Step 5: Solve for x
    x = 13,209,077,295.56/77,715
  6. Step 6: Final answer
    x = 169,968.18

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.