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Finding the Third Proportional to 218,694 and 470,928

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Solution

The third proportional to 218,694 and 470,928 is: 1,014,079.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,694 : 470,928 = 470,928 : x
  2. Step 2: Convert to fraction form
    218,694/470,928 = 470,928/x
  3. Step 3: Cross multiply
    218,694x = 470,928 × 470,928
  4. Step 4: Simplify right side
    218,694x = 221,773,181,184
  5. Step 5: Solve for x
    x = 221,773,181,184/218,694
  6. Step 6: Final answer
    x = 1,014,079.86

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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.