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Finding the Third Proportional to 402,234 and 623,218

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Solution

The third proportional to 402,234 and 623,218 is: 965,608.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,234 : 623,218 = 623,218 : x
  2. Step 2: Convert to fraction form
    402,234/623,218 = 623,218/x
  3. Step 3: Cross multiply
    402,234x = 623,218 × 623,218
  4. Step 4: Simplify right side
    402,234x = 388,400,675,524
  5. Step 5: Solve for x
    x = 388,400,675,524/402,234
  6. Step 6: Final answer
    x = 965,608.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.