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Finding the Third Proportional to 418,212 and 890,370

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Solution

The third proportional to 418,212 and 890,370 is: 1,895,590.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,212 : 890,370 = 890,370 : x
  2. Step 2: Convert to fraction form
    418,212/890,370 = 890,370/x
  3. Step 3: Cross multiply
    418,212x = 890,370 × 890,370
  4. Step 4: Simplify right side
    418,212x = 792,758,736,900
  5. Step 5: Solve for x
    x = 792,758,736,900/418,212
  6. Step 6: Final answer
    x = 1,895,590.60

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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.