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Finding the Third Proportional to 53,625 and 115,471.50

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Solution

The third proportional to 53,625 and 115,471.50 is: 248,646.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,625 : 115,471.50 = 115,471.50 : x
  2. Step 2: Convert to fraction form
    53,625/115,471.50 = 115,471.50/x
  3. Step 3: Cross multiply
    53,625x = 115,471.50 × 115,471.50
  4. Step 4: Simplify right side
    53,625x = 13,333,667,312.25
  5. Step 5: Solve for x
    x = 13,333,667,312.25/53,625
  6. Step 6: Final answer
    x = 248,646.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.