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Finding the Third Proportional to 53,910 and 81,614.25

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Solution

The third proportional to 53,910 and 81,614.25 is: 123,555.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,910 : 81,614.25 = 81,614.25 : x
  2. Step 2: Convert to fraction form
    53,910/81,614.25 = 81,614.25/x
  3. Step 3: Cross multiply
    53,910x = 81,614.25 × 81,614.25
  4. Step 4: Simplify right side
    53,910x = 6,660,885,803.06
  5. Step 5: Solve for x
    x = 6,660,885,803.06/53,910
  6. Step 6: Final answer
    x = 123,555.66

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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.