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Finding the Third Proportional to 281,299 and 663,628

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Solution

The third proportional to 281,299 and 663,628 is: 1,565,601.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,299 : 663,628 = 663,628 : x
  2. Step 2: Convert to fraction form
    281,299/663,628 = 663,628/x
  3. Step 3: Cross multiply
    281,299x = 663,628 × 663,628
  4. Step 4: Simplify right side
    281,299x = 440,402,122,384
  5. Step 5: Solve for x
    x = 440,402,122,384/281,299
  6. Step 6: Final answer
    x = 1,565,601.45

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.