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Finding the Third Proportional to 513,123 and 804,919

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Solution

The third proportional to 513,123 and 804,919 is: 1,262,649.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,123 : 804,919 = 804,919 : x
  2. Step 2: Convert to fraction form
    513,123/804,919 = 804,919/x
  3. Step 3: Cross multiply
    513,123x = 804,919 × 804,919
  4. Step 4: Simplify right side
    513,123x = 647,894,596,561
  5. Step 5: Solve for x
    x = 647,894,596,561/513,123
  6. Step 6: Final answer
    x = 1,262,649.69

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.