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Finding the Third Proportional to 55,685 and 120,127

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Solution

The third proportional to 55,685 and 120,127 is: 259,145.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,685 : 120,127 = 120,127 : x
  2. Step 2: Convert to fraction form
    55,685/120,127 = 120,127/x
  3. Step 3: Cross multiply
    55,685x = 120,127 × 120,127
  4. Step 4: Simplify right side
    55,685x = 14,430,496,129
  5. Step 5: Solve for x
    x = 14,430,496,129/55,685
  6. Step 6: Final answer
    x = 259,145.12

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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.