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Finding the Third Proportional to 426,834 and 643,068

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Solution

The third proportional to 426,834 and 643,068 is: 968,846.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,834 : 643,068 = 643,068 : x
  2. Step 2: Convert to fraction form
    426,834/643,068 = 643,068/x
  3. Step 3: Cross multiply
    426,834x = 643,068 × 643,068
  4. Step 4: Simplify right side
    426,834x = 413,536,452,624
  5. Step 5: Solve for x
    x = 413,536,452,624/426,834
  6. Step 6: Final answer
    x = 968,846.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.