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Finding the Third Proportional to 302,400 and 706,320

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Solution

The third proportional to 302,400 and 706,320 is: 1,649,761.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,400 : 706,320 = 706,320 : x
  2. Step 2: Convert to fraction form
    302,400/706,320 = 706,320/x
  3. Step 3: Cross multiply
    302,400x = 706,320 × 706,320
  4. Step 4: Simplify right side
    302,400x = 498,887,942,400
  5. Step 5: Solve for x
    x = 498,887,942,400/302,400
  6. Step 6: Final answer
    x = 1,649,761.71

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.