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Finding the Third Proportional to 407,230 and 621,378

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Solution

The third proportional to 407,230 and 621,378 is: 948,138.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,230 : 621,378 = 621,378 : x
  2. Step 2: Convert to fraction form
    407,230/621,378 = 621,378/x
  3. Step 3: Cross multiply
    407,230x = 621,378 × 621,378
  4. Step 4: Simplify right side
    407,230x = 386,110,618,884
  5. Step 5: Solve for x
    x = 386,110,618,884/407,230
  6. Step 6: Final answer
    x = 948,138.94

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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.