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Finding the Third Proportional to 218,710 and 469,982

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Solution

The third proportional to 218,710 and 469,982 is: 1,009,935.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,710 : 469,982 = 469,982 : x
  2. Step 2: Convert to fraction form
    218,710/469,982 = 469,982/x
  3. Step 3: Cross multiply
    218,710x = 469,982 × 469,982
  4. Step 4: Simplify right side
    218,710x = 220,883,080,324
  5. Step 5: Solve for x
    x = 220,883,080,324/218,710
  6. Step 6: Final answer
    x = 1,009,935.90

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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.