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Finding the Third Proportional to 405,862 and 576,883

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Solution

The third proportional to 405,862 and 576,883 is: 819,968.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,862 : 576,883 = 576,883 : x
  2. Step 2: Convert to fraction form
    405,862/576,883 = 576,883/x
  3. Step 3: Cross multiply
    405,862x = 576,883 × 576,883
  4. Step 4: Simplify right side
    405,862x = 332,793,995,689
  5. Step 5: Solve for x
    x = 332,793,995,689/405,862
  6. Step 6: Final answer
    x = 819,968.35

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.