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Finding the Third Proportional to 811,911 and 1,135,100

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Solution

The third proportional to 811,911 and 1,135,100 is: 1,586,937.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,911 : 1,135,100 = 1,135,100 : x
  2. Step 2: Convert to fraction form
    811,911/1,135,100 = 1,135,100/x
  3. Step 3: Cross multiply
    811,911x = 1,135,100 × 1,135,100
  4. Step 4: Simplify right side
    811,911x = 1,288,452,010,000
  5. Step 5: Solve for x
    x = 1,288,452,010,000/811,911
  6. Step 6: Final answer
    x = 1,586,937.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.