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Finding the Third Proportional to 218,240 and 469,852

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Solution

The third proportional to 218,240 and 469,852 is: 1,011,551.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,240 : 469,852 = 469,852 : x
  2. Step 2: Convert to fraction form
    218,240/469,852 = 469,852/x
  3. Step 3: Cross multiply
    218,240x = 469,852 × 469,852
  4. Step 4: Simplify right side
    218,240x = 220,760,901,904
  5. Step 5: Solve for x
    x = 220,760,901,904/218,240
  6. Step 6: Final answer
    x = 1,011,551.05

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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.