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Finding the Third Proportional to 218,730 and 470,022

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Solution

The third proportional to 218,730 and 470,022 is: 1,010,015.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,730 : 470,022 = 470,022 : x
  2. Step 2: Convert to fraction form
    218,730/470,022 = 470,022/x
  3. Step 3: Cross multiply
    218,730x = 470,022 × 470,022
  4. Step 4: Simplify right side
    218,730x = 220,920,680,484
  5. Step 5: Solve for x
    x = 220,920,680,484/218,730
  6. Step 6: Final answer
    x = 1,010,015.46

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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.