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Finding the Third Proportional to 281,297 and 663,623

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Solution

The third proportional to 281,297 and 663,623 is: 1,565,588.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,297 : 663,623 = 663,623 : x
  2. Step 2: Convert to fraction form
    281,297/663,623 = 663,623/x
  3. Step 3: Cross multiply
    281,297x = 663,623 × 663,623
  4. Step 4: Simplify right side
    281,297x = 440,395,486,129
  5. Step 5: Solve for x
    x = 440,395,486,129/281,297
  6. Step 6: Final answer
    x = 1,565,588.99

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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.