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Finding the Third Proportional to 218,711 and 469,984

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Solution

The third proportional to 218,711 and 469,984 is: 1,009,939.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,711 : 469,984 = 469,984 : x
  2. Step 2: Convert to fraction form
    218,711/469,984 = 469,984/x
  3. Step 3: Cross multiply
    218,711x = 469,984 × 469,984
  4. Step 4: Simplify right side
    218,711x = 220,884,960,256
  5. Step 5: Solve for x
    x = 220,884,960,256/218,711
  6. Step 6: Final answer
    x = 1,009,939.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.