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Finding the Third Proportional to 330,992 and 708,640

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Solution

The third proportional to 330,992 and 708,640 is: 1,517,168.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,992 : 708,640 = 708,640 : x
  2. Step 2: Convert to fraction form
    330,992/708,640 = 708,640/x
  3. Step 3: Cross multiply
    330,992x = 708,640 × 708,640
  4. Step 4: Simplify right side
    330,992x = 502,170,649,600
  5. Step 5: Solve for x
    x = 502,170,649,600/330,992
  6. Step 6: Final answer
    x = 1,517,168.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.