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Finding the Third Proportional to 51,981.75 and 78,342.19

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Solution

The third proportional to 51,981.75 and 78,342.19 is: 118,070.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,981.75 : 78,342.19 = 78,342.19 : x
  2. Step 2: Convert to fraction form
    51,981.75/78,342.19 = 78,342.19/x
  3. Step 3: Cross multiply
    51,981.75x = 78,342.19 × 78,342.19
  4. Step 4: Simplify right side
    51,981.75x = 6,137,498,342.29
  5. Step 5: Solve for x
    x = 6,137,498,342.29/51,981.75
  6. Step 6: Final answer
    x = 118,070.25

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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.