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Finding the Third Proportional to 53,832.75 and 77,060.25

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Solution

The third proportional to 53,832.75 and 77,060.25 is: 110,309.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,832.75 : 77,060.25 = 77,060.25 : x
  2. Step 2: Convert to fraction form
    53,832.75/77,060.25 = 77,060.25/x
  3. Step 3: Cross multiply
    53,832.75x = 77,060.25 × 77,060.25
  4. Step 4: Simplify right side
    53,832.75x = 5,938,282,130.06
  5. Step 5: Solve for x
    x = 5,938,282,130.06/53,832.75
  6. Step 6: Final answer
    x = 110,309.84

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.