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Finding the Third Proportional to 78,127 and 110,622

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Solution

The third proportional to 78,127 and 110,622 is: 156,632.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,127 : 110,622 = 110,622 : x
  2. Step 2: Convert to fraction form
    78,127/110,622 = 110,622/x
  3. Step 3: Cross multiply
    78,127x = 110,622 × 110,622
  4. Step 4: Simplify right side
    78,127x = 12,237,226,884
  5. Step 5: Solve for x
    x = 12,237,226,884/78,127
  6. Step 6: Final answer
    x = 156,632.49

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.