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Finding the Third Proportional to 53,584 and 78,812

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Solution

The third proportional to 53,584 and 78,812 is: 115,917.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,584 : 78,812 = 78,812 : x
  2. Step 2: Convert to fraction form
    53,584/78,812 = 78,812/x
  3. Step 3: Cross multiply
    53,584x = 78,812 × 78,812
  4. Step 4: Simplify right side
    53,584x = 6,211,331,344
  5. Step 5: Solve for x
    x = 6,211,331,344/53,584
  6. Step 6: Final answer
    x = 115,917.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.