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Finding the Third Proportional to 197,125 and 428,715

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Solution

The third proportional to 197,125 and 428,715 is: 932,385.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,125 : 428,715 = 428,715 : x
  2. Step 2: Convert to fraction form
    197,125/428,715 = 428,715/x
  3. Step 3: Cross multiply
    197,125x = 428,715 × 428,715
  4. Step 4: Simplify right side
    197,125x = 183,796,551,225
  5. Step 5: Solve for x
    x = 183,796,551,225/197,125
  6. Step 6: Final answer
    x = 932,385.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.