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Finding the Third Proportional to 77,570 and 117,005

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Solution

The third proportional to 77,570 and 117,005 is: 176,487.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,570 : 117,005 = 117,005 : x
  2. Step 2: Convert to fraction form
    77,570/117,005 = 117,005/x
  3. Step 3: Cross multiply
    77,570x = 117,005 × 117,005
  4. Step 4: Simplify right side
    77,570x = 13,690,170,025
  5. Step 5: Solve for x
    x = 13,690,170,025/77,570
  6. Step 6: Final answer
    x = 176,487.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.