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Finding the Third Proportional to 602,028 and 819,990

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Solution

The third proportional to 602,028 and 819,990 is: 1,116,864.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,028 : 819,990 = 819,990 : x
  2. Step 2: Convert to fraction form
    602,028/819,990 = 819,990/x
  3. Step 3: Cross multiply
    602,028x = 819,990 × 819,990
  4. Step 4: Simplify right side
    602,028x = 672,383,600,100
  5. Step 5: Solve for x
    x = 672,383,600,100/602,028
  6. Step 6: Final answer
    x = 1,116,864.33

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.