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Finding the Third Proportional to 421,562 and 632,355

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Solution

The third proportional to 421,562 and 632,355 is: 948,550.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,562 : 632,355 = 632,355 : x
  2. Step 2: Convert to fraction form
    421,562/632,355 = 632,355/x
  3. Step 3: Cross multiply
    421,562x = 632,355 × 632,355
  4. Step 4: Simplify right side
    421,562x = 399,872,846,025
  5. Step 5: Solve for x
    x = 399,872,846,025/421,562
  6. Step 6: Final answer
    x = 948,550.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.