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Finding the Third Proportional to 811,664 and 1,261,704

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Solution

The third proportional to 811,664 and 1,261,704 is: 1,961,275.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,664 : 1,261,704 = 1,261,704 : x
  2. Step 2: Convert to fraction form
    811,664/1,261,704 = 1,261,704/x
  3. Step 3: Cross multiply
    811,664x = 1,261,704 × 1,261,704
  4. Step 4: Simplify right side
    811,664x = 1,591,896,983,616
  5. Step 5: Solve for x
    x = 1,591,896,983,616/811,664
  6. Step 6: Final answer
    x = 1,961,275.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.