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Finding the Third Proportional to 572,419 and 890,147

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Solution

The third proportional to 572,419 and 890,147 is: 1,384,233.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,419 : 890,147 = 890,147 : x
  2. Step 2: Convert to fraction form
    572,419/890,147 = 890,147/x
  3. Step 3: Cross multiply
    572,419x = 890,147 × 890,147
  4. Step 4: Simplify right side
    572,419x = 792,361,681,609
  5. Step 5: Solve for x
    x = 792,361,681,609/572,419
  6. Step 6: Final answer
    x = 1,384,233.72

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.