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Finding the Third Proportional to 811,912 and 1,135,101

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Solution

The third proportional to 811,912 and 1,135,101 is: 1,586,938.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,912 : 1,135,101 = 1,135,101 : x
  2. Step 2: Convert to fraction form
    811,912/1,135,101 = 1,135,101/x
  3. Step 3: Cross multiply
    811,912x = 1,135,101 × 1,135,101
  4. Step 4: Simplify right side
    811,912x = 1,288,454,280,201
  5. Step 5: Solve for x
    x = 1,288,454,280,201/811,912
  6. Step 6: Final answer
    x = 1,586,938.34

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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.