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Finding the Third Proportional to 55,725 and 121,605

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Solution

The third proportional to 55,725 and 121,605 is: 265,370.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,725 : 121,605 = 121,605 : x
  2. Step 2: Convert to fraction form
    55,725/121,605 = 121,605/x
  3. Step 3: Cross multiply
    55,725x = 121,605 × 121,605
  4. Step 4: Simplify right side
    55,725x = 14,787,776,025
  5. Step 5: Solve for x
    x = 14,787,776,025/55,725
  6. Step 6: Final answer
    x = 265,370.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.