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Finding the Third Proportional to 128,040 and 279,360

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Solution

The third proportional to 128,040 and 279,360 is: 609,512.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,040 : 279,360 = 279,360 : x
  2. Step 2: Convert to fraction form
    128,040/279,360 = 279,360/x
  3. Step 3: Cross multiply
    128,040x = 279,360 × 279,360
  4. Step 4: Simplify right side
    128,040x = 78,042,009,600
  5. Step 5: Solve for x
    x = 78,042,009,600/128,040
  6. Step 6: Final answer
    x = 609,512.73

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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.