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Finding the Third Proportional to 105,616 and 218,720

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Solution

The third proportional to 105,616 and 218,720 is: 452,946.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,616 : 218,720 = 218,720 : x
  2. Step 2: Convert to fraction form
    105,616/218,720 = 218,720/x
  3. Step 3: Cross multiply
    105,616x = 218,720 × 218,720
  4. Step 4: Simplify right side
    105,616x = 47,838,438,400
  5. Step 5: Solve for x
    x = 47,838,438,400/105,616
  6. Step 6: Final answer
    x = 452,946.89

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.