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Finding the Third Proportional to 55,863 and 78,141

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Solution

The third proportional to 55,863 and 78,141 is: 109,303.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,863 : 78,141 = 78,141 : x
  2. Step 2: Convert to fraction form
    55,863/78,141 = 78,141/x
  3. Step 3: Cross multiply
    55,863x = 78,141 × 78,141
  4. Step 4: Simplify right side
    55,863x = 6,106,015,881
  5. Step 5: Solve for x
    x = 6,106,015,881/55,863
  6. Step 6: Final answer
    x = 109,303.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.