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Finding the Third Proportional to 819,682 and 1,283,090

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Solution

The third proportional to 819,682 and 1,283,090 is: 2,008,486.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,682 : 1,283,090 = 1,283,090 : x
  2. Step 2: Convert to fraction form
    819,682/1,283,090 = 1,283,090/x
  3. Step 3: Cross multiply
    819,682x = 1,283,090 × 1,283,090
  4. Step 4: Simplify right side
    819,682x = 1,646,319,948,100
  5. Step 5: Solve for x
    x = 1,646,319,948,100/819,682
  6. Step 6: Final answer
    x = 2,008,486.15

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.