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Finding the Third Proportional to 351,012 and 513,353

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Solution

The third proportional to 351,012 and 513,353 is: 750,775.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,012 : 513,353 = 513,353 : x
  2. Step 2: Convert to fraction form
    351,012/513,353 = 513,353/x
  3. Step 3: Cross multiply
    351,012x = 513,353 × 513,353
  4. Step 4: Simplify right side
    351,012x = 263,531,302,609
  5. Step 5: Solve for x
    x = 263,531,302,609/351,012
  6. Step 6: Final answer
    x = 750,775.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.