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Finding the Third Proportional to 78,127.13 and 110,621.63

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Solution

The third proportional to 78,127.13 and 110,621.63 is: 156,631.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,127.13 : 110,621.63 = 110,621.63 : x
  2. Step 2: Convert to fraction form
    78,127.13/110,621.63 = 110,621.63/x
  3. Step 3: Cross multiply
    78,127.13x = 110,621.63 × 110,621.63
  4. Step 4: Simplify right side
    78,127.13x = 12,237,143,917.64
  5. Step 5: Solve for x
    x = 12,237,143,917.64/78,127.13
  6. Step 6: Final answer
    x = 156,631.18

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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.