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Finding the Third Proportional to 53,480.25 and 102,849.75

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Solution

The third proportional to 53,480.25 and 102,849.75 is: 197,793.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,480.25 : 102,849.75 = 102,849.75 : x
  2. Step 2: Convert to fraction form
    53,480.25/102,849.75 = 102,849.75/x
  3. Step 3: Cross multiply
    53,480.25x = 102,849.75 × 102,849.75
  4. Step 4: Simplify right side
    53,480.25x = 10,578,071,075.06
  5. Step 5: Solve for x
    x = 10,578,071,075.06/53,480.25
  6. Step 6: Final answer
    x = 197,793.97

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.