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Finding the Third Proportional to 223,387 and 486,937

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Solution

The third proportional to 223,387 and 486,937 is: 1,061,420.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,387 : 486,937 = 486,937 : x
  2. Step 2: Convert to fraction form
    223,387/486,937 = 486,937/x
  3. Step 3: Cross multiply
    223,387x = 486,937 × 486,937
  4. Step 4: Simplify right side
    223,387x = 237,107,641,969
  5. Step 5: Solve for x
    x = 237,107,641,969/223,387
  6. Step 6: Final answer
    x = 1,061,420.95

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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.