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Finding the Third Proportional to 245,282 and 329,628

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Solution

The third proportional to 245,282 and 329,628 is: 442,978.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,282 : 329,628 = 329,628 : x
  2. Step 2: Convert to fraction form
    245,282/329,628 = 329,628/x
  3. Step 3: Cross multiply
    245,282x = 329,628 × 329,628
  4. Step 4: Simplify right side
    245,282x = 108,654,618,384
  5. Step 5: Solve for x
    x = 108,654,618,384/245,282
  6. Step 6: Final answer
    x = 442,978.36

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.