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Finding the Third Proportional to 418,113 and 890,163

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Solution

The third proportional to 418,113 and 890,163 is: 1,895,157.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,113 : 890,163 = 890,163 : x
  2. Step 2: Convert to fraction form
    418,113/890,163 = 890,163/x
  3. Step 3: Cross multiply
    418,113x = 890,163 × 890,163
  4. Step 4: Simplify right side
    418,113x = 792,390,166,569
  5. Step 5: Solve for x
    x = 792,390,166,569/418,113
  6. Step 6: Final answer
    x = 1,895,157.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.