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Finding the Third Proportional to 56,137 and 121,269.75

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Solution

The third proportional to 56,137 and 121,269.75 is: 261,972.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,137 : 121,269.75 = 121,269.75 : x
  2. Step 2: Convert to fraction form
    56,137/121,269.75 = 121,269.75/x
  3. Step 3: Cross multiply
    56,137x = 121,269.75 × 121,269.75
  4. Step 4: Simplify right side
    56,137x = 14,706,352,265.06
  5. Step 5: Solve for x
    x = 14,706,352,265.06/56,137
  6. Step 6: Final answer
    x = 261,972.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.