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Finding the Third Proportional to 283,862 and 619,972

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Solution

The third proportional to 283,862 and 619,972 is: 1,354,056.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,862 : 619,972 = 619,972 : x
  2. Step 2: Convert to fraction form
    283,862/619,972 = 619,972/x
  3. Step 3: Cross multiply
    283,862x = 619,972 × 619,972
  4. Step 4: Simplify right side
    283,862x = 384,365,280,784
  5. Step 5: Solve for x
    x = 384,365,280,784/283,862
  6. Step 6: Final answer
    x = 1,354,056.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.