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Finding the Third Proportional to 512,370 and 818,523

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Solution

The third proportional to 512,370 and 818,523 is: 1,307,609.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,370 : 818,523 = 818,523 : x
  2. Step 2: Convert to fraction form
    512,370/818,523 = 818,523/x
  3. Step 3: Cross multiply
    512,370x = 818,523 × 818,523
  4. Step 4: Simplify right side
    512,370x = 669,979,901,529
  5. Step 5: Solve for x
    x = 669,979,901,529/512,370
  6. Step 6: Final answer
    x = 1,307,609.54

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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.