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Finding the Third Proportional to 412,836.75 and 581,365.13

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Solution

The third proportional to 412,836.75 and 581,365.13 is: 818,690.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,836.75 : 581,365.13 = 581,365.13 : x
  2. Step 2: Convert to fraction form
    412,836.75/581,365.13 = 581,365.13/x
  3. Step 3: Cross multiply
    412,836.75x = 581,365.13 × 581,365.13
  4. Step 4: Simplify right side
    412,836.75x = 337,985,408,566.27
  5. Step 5: Solve for x
    x = 337,985,408,566.27/412,836.75
  6. Step 6: Final answer
    x = 818,690.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.