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Finding the Third Proportional to 218,236 and 470,900

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Solution

The third proportional to 218,236 and 470,900 is: 1,016,087.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,236 : 470,900 = 470,900 : x
  2. Step 2: Convert to fraction form
    218,236/470,900 = 470,900/x
  3. Step 3: Cross multiply
    218,236x = 470,900 × 470,900
  4. Step 4: Simplify right side
    218,236x = 221,746,810,000
  5. Step 5: Solve for x
    x = 221,746,810,000/218,236
  6. Step 6: Final answer
    x = 1,016,087.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.