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Finding the Third Proportional to 419,960 and 648,506

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Solution

The third proportional to 419,960 and 648,506 is: 1,001,428.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,960 : 648,506 = 648,506 : x
  2. Step 2: Convert to fraction form
    419,960/648,506 = 648,506/x
  3. Step 3: Cross multiply
    419,960x = 648,506 × 648,506
  4. Step 4: Simplify right side
    419,960x = 420,560,032,036
  5. Step 5: Solve for x
    x = 420,560,032,036/419,960
  6. Step 6: Final answer
    x = 1,001,428.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.