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Finding the Third Proportional to 513,108 and 804,910

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Solution

The third proportional to 513,108 and 804,910 is: 1,262,658.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,108 : 804,910 = 804,910 : x
  2. Step 2: Convert to fraction form
    513,108/804,910 = 804,910/x
  3. Step 3: Cross multiply
    513,108x = 804,910 × 804,910
  4. Step 4: Simplify right side
    513,108x = 647,880,108,100
  5. Step 5: Solve for x
    x = 647,880,108,100/513,108
  6. Step 6: Final answer
    x = 1,262,658.36

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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.