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Finding the Third Proportional to 342,300 and 763,305

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Solution

The third proportional to 342,300 and 763,305 is: 1,702,116.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,300 : 763,305 = 763,305 : x
  2. Step 2: Convert to fraction form
    342,300/763,305 = 763,305/x
  3. Step 3: Cross multiply
    342,300x = 763,305 × 763,305
  4. Step 4: Simplify right side
    342,300x = 582,634,523,025
  5. Step 5: Solve for x
    x = 582,634,523,025/342,300
  6. Step 6: Final answer
    x = 1,702,116.63

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.