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Finding the Third Proportional to 342,463 and 545,406

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Solution

The third proportional to 342,463 and 545,406 is: 868,612.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,463 : 545,406 = 545,406 : x
  2. Step 2: Convert to fraction form
    342,463/545,406 = 545,406/x
  3. Step 3: Cross multiply
    342,463x = 545,406 × 545,406
  4. Step 4: Simplify right side
    342,463x = 297,467,704,836
  5. Step 5: Solve for x
    x = 297,467,704,836/342,463
  6. Step 6: Final answer
    x = 868,612.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.