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Finding the Third Proportional to 210,505.50 and 454,707

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Solution

The third proportional to 210,505.50 and 454,707 is: 982,199.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,505.50 : 454,707 = 454,707 : x
  2. Step 2: Convert to fraction form
    210,505.50/454,707 = 454,707/x
  3. Step 3: Cross multiply
    210,505.50x = 454,707 × 454,707
  4. Step 4: Simplify right side
    210,505.50x = 206,758,455,849
  5. Step 5: Solve for x
    x = 206,758,455,849/210,505.50
  6. Step 6: Final answer
    x = 982,199.78

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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.