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Finding the Third Proportional to 320,049 and 468,239

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Solution

The third proportional to 320,049 and 468,239 is: 685,044.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,049 : 468,239 = 468,239 : x
  2. Step 2: Convert to fraction form
    320,049/468,239 = 468,239/x
  3. Step 3: Cross multiply
    320,049x = 468,239 × 468,239
  4. Step 4: Simplify right side
    320,049x = 219,247,761,121
  5. Step 5: Solve for x
    x = 219,247,761,121/320,049
  6. Step 6: Final answer
    x = 685,044.36

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.