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Finding the Third Proportional to 421,548 and 642,825

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Solution

The third proportional to 421,548 and 642,825 is: 980,253.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,548 : 642,825 = 642,825 : x
  2. Step 2: Convert to fraction form
    421,548/642,825 = 642,825/x
  3. Step 3: Cross multiply
    421,548x = 642,825 × 642,825
  4. Step 4: Simplify right side
    421,548x = 413,223,980,625
  5. Step 5: Solve for x
    x = 413,223,980,625/421,548
  6. Step 6: Final answer
    x = 980,253.69

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.