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Finding the Third Proportional to 551,209 and 826,816.50

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Solution

The third proportional to 551,209 and 826,816.50 is: 1,240,229.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,209 : 826,816.50 = 826,816.50 : x
  2. Step 2: Convert to fraction form
    551,209/826,816.50 = 826,816.50/x
  3. Step 3: Cross multiply
    551,209x = 826,816.50 × 826,816.50
  4. Step 4: Simplify right side
    551,209x = 683,625,524,672.25
  5. Step 5: Solve for x
    x = 683,625,524,672.25/551,209
  6. Step 6: Final answer
    x = 1,240,229.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.