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Finding the Third Proportional to 813,896 and 1,261,740

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Solution

The third proportional to 813,896 and 1,261,740 is: 1,956,008.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,896 : 1,261,740 = 1,261,740 : x
  2. Step 2: Convert to fraction form
    813,896/1,261,740 = 1,261,740/x
  3. Step 3: Cross multiply
    813,896x = 1,261,740 × 1,261,740
  4. Step 4: Simplify right side
    813,896x = 1,591,987,827,600
  5. Step 5: Solve for x
    x = 1,591,987,827,600/813,896
  6. Step 6: Final answer
    x = 1,956,008.91

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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.