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Finding the Third Proportional to 211,715 and 454,130

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Solution

The third proportional to 211,715 and 454,130 is: 974,111.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,715 : 454,130 = 454,130 : x
  2. Step 2: Convert to fraction form
    211,715/454,130 = 454,130/x
  3. Step 3: Cross multiply
    211,715x = 454,130 × 454,130
  4. Step 4: Simplify right side
    211,715x = 206,234,056,900
  5. Step 5: Solve for x
    x = 206,234,056,900/211,715
  6. Step 6: Final answer
    x = 974,111.69

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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.