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Finding the Third Proportional to 516,415.50 and 789,486.75

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Solution

The third proportional to 516,415.50 and 789,486.75 is: 1,206,953.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,415.50 : 789,486.75 = 789,486.75 : x
  2. Step 2: Convert to fraction form
    516,415.50/789,486.75 = 789,486.75/x
  3. Step 3: Cross multiply
    516,415.50x = 789,486.75 × 789,486.75
  4. Step 4: Simplify right side
    516,415.50x = 623,289,328,425.56
  5. Step 5: Solve for x
    x = 623,289,328,425.56/516,415.50
  6. Step 6: Final answer
    x = 1,206,953.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.