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Finding the Third Proportional to 512,376 and 818,532

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Solution

The third proportional to 512,376 and 818,532 is: 1,307,622.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,376 : 818,532 = 818,532 : x
  2. Step 2: Convert to fraction form
    512,376/818,532 = 818,532/x
  3. Step 3: Cross multiply
    512,376x = 818,532 × 818,532
  4. Step 4: Simplify right side
    512,376x = 669,994,635,024
  5. Step 5: Solve for x
    x = 669,994,635,024/512,376
  6. Step 6: Final answer
    x = 1,307,622.99

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.