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Finding the Third Proportional to 229,478 and 330,513

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Solution

The third proportional to 229,478 and 330,513 is: 476,031.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,478 : 330,513 = 330,513 : x
  2. Step 2: Convert to fraction form
    229,478/330,513 = 330,513/x
  3. Step 3: Cross multiply
    229,478x = 330,513 × 330,513
  4. Step 4: Simplify right side
    229,478x = 109,238,843,169
  5. Step 5: Solve for x
    x = 109,238,843,169/229,478
  6. Step 6: Final answer
    x = 476,031.88

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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.