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Finding the Third Proportional to 828,888 and 1,283,790

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Solution

The third proportional to 828,888 and 1,283,790 is: 1,988,346.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,888 : 1,283,790 = 1,283,790 : x
  2. Step 2: Convert to fraction form
    828,888/1,283,790 = 1,283,790/x
  3. Step 3: Cross multiply
    828,888x = 1,283,790 × 1,283,790
  4. Step 4: Simplify right side
    828,888x = 1,648,116,764,100
  5. Step 5: Solve for x
    x = 1,648,116,764,100/828,888
  6. Step 6: Final answer
    x = 1,988,346.75

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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.