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Finding the Third Proportional to 55,390 and 120,128

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Solution

The third proportional to 55,390 and 120,128 is: 260,529.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,390 : 120,128 = 120,128 : x
  2. Step 2: Convert to fraction form
    55,390/120,128 = 120,128/x
  3. Step 3: Cross multiply
    55,390x = 120,128 × 120,128
  4. Step 4: Simplify right side
    55,390x = 14,430,736,384
  5. Step 5: Solve for x
    x = 14,430,736,384/55,390
  6. Step 6: Final answer
    x = 260,529.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.