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Finding the Third Proportional to 53,190 and 78,758

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Solution

The third proportional to 53,190 and 78,758 is: 116,616.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,190 : 78,758 = 78,758 : x
  2. Step 2: Convert to fraction form
    53,190/78,758 = 78,758/x
  3. Step 3: Cross multiply
    53,190x = 78,758 × 78,758
  4. Step 4: Simplify right side
    53,190x = 6,202,822,564
  5. Step 5: Solve for x
    x = 6,202,822,564/53,190
  6. Step 6: Final answer
    x = 116,616.33

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.