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Finding the Third Proportional to 84,465 and 122,715

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Solution

The third proportional to 84,465 and 122,715 is: 178,286.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,465 : 122,715 = 122,715 : x
  2. Step 2: Convert to fraction form
    84,465/122,715 = 122,715/x
  3. Step 3: Cross multiply
    84,465x = 122,715 × 122,715
  4. Step 4: Simplify right side
    84,465x = 15,058,971,225
  5. Step 5: Solve for x
    x = 15,058,971,225/84,465
  6. Step 6: Final answer
    x = 178,286.52

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.