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Finding the Third Proportional to 229,440 and 330,447

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Solution

The third proportional to 229,440 and 330,447 is: 475,920.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,440 : 330,447 = 330,447 : x
  2. Step 2: Convert to fraction form
    229,440/330,447 = 330,447/x
  3. Step 3: Cross multiply
    229,440x = 330,447 × 330,447
  4. Step 4: Simplify right side
    229,440x = 109,195,219,809
  5. Step 5: Solve for x
    x = 109,195,219,809/229,440
  6. Step 6: Final answer
    x = 475,920.59

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.