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Finding the Third Proportional to 211,086 and 430,784

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Solution

The third proportional to 211,086 and 430,784 is: 879,143.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,086 : 430,784 = 430,784 : x
  2. Step 2: Convert to fraction form
    211,086/430,784 = 430,784/x
  3. Step 3: Cross multiply
    211,086x = 430,784 × 430,784
  4. Step 4: Simplify right side
    211,086x = 185,574,854,656
  5. Step 5: Solve for x
    x = 185,574,854,656/211,086
  6. Step 6: Final answer
    x = 879,143.36

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.