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Finding the Third Proportional to 318,942 and 433,341

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Solution

The third proportional to 318,942 and 433,341 is: 588,772.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,942 : 433,341 = 433,341 : x
  2. Step 2: Convert to fraction form
    318,942/433,341 = 433,341/x
  3. Step 3: Cross multiply
    318,942x = 433,341 × 433,341
  4. Step 4: Simplify right side
    318,942x = 187,784,422,281
  5. Step 5: Solve for x
    x = 187,784,422,281/318,942
  6. Step 6: Final answer
    x = 588,772.95

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.