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Finding the Third Proportional to 318,436 and 671,432

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Solution

The third proportional to 318,436 and 671,432 is: 1,415,734.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,436 : 671,432 = 671,432 : x
  2. Step 2: Convert to fraction form
    318,436/671,432 = 671,432/x
  3. Step 3: Cross multiply
    318,436x = 671,432 × 671,432
  4. Step 4: Simplify right side
    318,436x = 450,820,930,624
  5. Step 5: Solve for x
    x = 450,820,930,624/318,436
  6. Step 6: Final answer
    x = 1,415,734.81

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.