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Finding the Third Proportional to 78,128 and 124,218

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Solution

The third proportional to 78,128 and 124,218 is: 197,497.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,128 : 124,218 = 124,218 : x
  2. Step 2: Convert to fraction form
    78,128/124,218 = 124,218/x
  3. Step 3: Cross multiply
    78,128x = 124,218 × 124,218
  4. Step 4: Simplify right side
    78,128x = 15,430,111,524
  5. Step 5: Solve for x
    x = 15,430,111,524/78,128
  6. Step 6: Final answer
    x = 197,497.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.