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Finding the Third Proportional to 421,544 and 642,820

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Solution

The third proportional to 421,544 and 642,820 is: 980,247.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,544 : 642,820 = 642,820 : x
  2. Step 2: Convert to fraction form
    421,544/642,820 = 642,820/x
  3. Step 3: Cross multiply
    421,544x = 642,820 × 642,820
  4. Step 4: Simplify right side
    421,544x = 413,217,552,400
  5. Step 5: Solve for x
    x = 413,217,552,400/421,544
  6. Step 6: Final answer
    x = 980,247.74

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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.