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Finding the Third Proportional to 353,565 and 763,155

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Solution

The third proportional to 353,565 and 763,155 is: 1,647,237.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,565 : 763,155 = 763,155 : x
  2. Step 2: Convert to fraction form
    353,565/763,155 = 763,155/x
  3. Step 3: Cross multiply
    353,565x = 763,155 × 763,155
  4. Step 4: Simplify right side
    353,565x = 582,405,554,025
  5. Step 5: Solve for x
    x = 582,405,554,025/353,565
  6. Step 6: Final answer
    x = 1,647,237.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.