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Finding the Third Proportional to 393,301 and 862,417

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Solution

The third proportional to 393,301 and 862,417 is: 1,891,078.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,301 : 862,417 = 862,417 : x
  2. Step 2: Convert to fraction form
    393,301/862,417 = 862,417/x
  3. Step 3: Cross multiply
    393,301x = 862,417 × 862,417
  4. Step 4: Simplify right side
    393,301x = 743,763,081,889
  5. Step 5: Solve for x
    x = 743,763,081,889/393,301
  6. Step 6: Final answer
    x = 1,891,078.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.