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Finding the Third Proportional to 513,124 and 804,921

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Solution

The third proportional to 513,124 and 804,921 is: 1,262,653.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,124 : 804,921 = 804,921 : x
  2. Step 2: Convert to fraction form
    513,124/804,921 = 804,921/x
  3. Step 3: Cross multiply
    513,124x = 804,921 × 804,921
  4. Step 4: Simplify right side
    513,124x = 647,897,816,241
  5. Step 5: Solve for x
    x = 647,897,816,241/513,124
  6. Step 6: Final answer
    x = 1,262,653.50

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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.