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Finding the Third Proportional to 84,121 and 183,915

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Solution

The third proportional to 84,121 and 183,915 is: 402,096.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,121 : 183,915 = 183,915 : x
  2. Step 2: Convert to fraction form
    84,121/183,915 = 183,915/x
  3. Step 3: Cross multiply
    84,121x = 183,915 × 183,915
  4. Step 4: Simplify right side
    84,121x = 33,824,727,225
  5. Step 5: Solve for x
    x = 33,824,727,225/84,121
  6. Step 6: Final answer
    x = 402,096.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.