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Finding the Third Proportional to 79,664 and 122,280

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Solution

The third proportional to 79,664 and 122,280 is: 187,693.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,664 : 122,280 = 122,280 : x
  2. Step 2: Convert to fraction form
    79,664/122,280 = 122,280/x
  3. Step 3: Cross multiply
    79,664x = 122,280 × 122,280
  4. Step 4: Simplify right side
    79,664x = 14,952,398,400
  5. Step 5: Solve for x
    x = 14,952,398,400/79,664
  6. Step 6: Final answer
    x = 187,693.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.