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Finding the Third Proportional to 405,414 and 869,862

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Solution

The third proportional to 405,414 and 869,862 is: 1,866,388.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,414 : 869,862 = 869,862 : x
  2. Step 2: Convert to fraction form
    405,414/869,862 = 869,862/x
  3. Step 3: Cross multiply
    405,414x = 869,862 × 869,862
  4. Step 4: Simplify right side
    405,414x = 756,659,899,044
  5. Step 5: Solve for x
    x = 756,659,899,044/405,414
  6. Step 6: Final answer
    x = 1,866,388.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.