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Finding the Third Proportional to 513,103.50 and 804,903.19

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Solution

The third proportional to 513,103.50 and 804,903.19 is: 1,262,648.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,103.50 : 804,903.19 = 804,903.19 : x
  2. Step 2: Convert to fraction form
    513,103.50/804,903.19 = 804,903.19/x
  3. Step 3: Cross multiply
    513,103.50x = 804,903.19 × 804,903.19
  4. Step 4: Simplify right side
    513,103.50x = 647,869,141,247.66
  5. Step 5: Solve for x
    x = 647,869,141,247.66/513,103.50
  6. Step 6: Final answer
    x = 1,262,648.06

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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.