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Finding the Third Proportional to 53,788 and 78,954

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Solution

The third proportional to 53,788 and 78,954 is: 115,894.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,788 : 78,954 = 78,954 : x
  2. Step 2: Convert to fraction form
    53,788/78,954 = 78,954/x
  3. Step 3: Cross multiply
    53,788x = 78,954 × 78,954
  4. Step 4: Simplify right side
    53,788x = 6,233,734,116
  5. Step 5: Solve for x
    x = 6,233,734,116/53,788
  6. Step 6: Final answer
    x = 115,894.51

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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.