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Finding the Third Proportional to 342,307 and 763,320

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Solution

The third proportional to 342,307 and 763,320 is: 1,702,148.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,307 : 763,320 = 763,320 : x
  2. Step 2: Convert to fraction form
    342,307/763,320 = 763,320/x
  3. Step 3: Cross multiply
    342,307x = 763,320 × 763,320
  4. Step 4: Simplify right side
    342,307x = 582,657,422,400
  5. Step 5: Solve for x
    x = 582,657,422,400/342,307
  6. Step 6: Final answer
    x = 1,702,148.72

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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.