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Finding the Third Proportional to 419,715 and 654,696

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Solution

The third proportional to 419,715 and 654,696 is: 1,021,233.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,715 : 654,696 = 654,696 : x
  2. Step 2: Convert to fraction form
    419,715/654,696 = 654,696/x
  3. Step 3: Cross multiply
    419,715x = 654,696 × 654,696
  4. Step 4: Simplify right side
    419,715x = 428,626,852,416
  5. Step 5: Solve for x
    x = 428,626,852,416/419,715
  6. Step 6: Final answer
    x = 1,021,233.10

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.