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Finding the Third Proportional to 811,453 and 1,263,108

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Solution

The third proportional to 811,453 and 1,263,108 is: 1,966,154.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,453 : 1,263,108 = 1,263,108 : x
  2. Step 2: Convert to fraction form
    811,453/1,263,108 = 1,263,108/x
  3. Step 3: Cross multiply
    811,453x = 1,263,108 × 1,263,108
  4. Step 4: Simplify right side
    811,453x = 1,595,441,819,664
  5. Step 5: Solve for x
    x = 1,595,441,819,664/811,453
  6. Step 6: Final answer
    x = 1,966,154.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.