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Finding the Third Proportional to 423,378 and 648,558

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Solution

The third proportional to 423,378 and 648,558 is: 993,503.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,378 : 648,558 = 648,558 : x
  2. Step 2: Convert to fraction form
    423,378/648,558 = 648,558/x
  3. Step 3: Cross multiply
    423,378x = 648,558 × 648,558
  4. Step 4: Simplify right side
    423,378x = 420,627,479,364
  5. Step 5: Solve for x
    x = 420,627,479,364/423,378
  6. Step 6: Final answer
    x = 993,503.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.