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Finding the Third Proportional to 419,712 and 654,672

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Solution

The third proportional to 419,712 and 654,672 is: 1,021,165.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,712 : 654,672 = 654,672 : x
  2. Step 2: Convert to fraction form
    419,712/654,672 = 654,672/x
  3. Step 3: Cross multiply
    419,712x = 654,672 × 654,672
  4. Step 4: Simplify right side
    419,712x = 428,595,427,584
  5. Step 5: Solve for x
    x = 428,595,427,584/419,712
  6. Step 6: Final answer
    x = 1,021,165.53

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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.