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Finding the Third Proportional to 78,124 and 115,728

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Solution

The third proportional to 78,124 and 115,728 is: 171,432.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,124 : 115,728 = 115,728 : x
  2. Step 2: Convert to fraction form
    78,124/115,728 = 115,728/x
  3. Step 3: Cross multiply
    78,124x = 115,728 × 115,728
  4. Step 4: Simplify right side
    78,124x = 13,392,969,984
  5. Step 5: Solve for x
    x = 13,392,969,984/78,124
  6. Step 6: Final answer
    x = 171,432.21

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.