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Finding the Third Proportional to 211,746 and 440,916

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Solution

The third proportional to 211,746 and 440,916 is: 918,113.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,746 : 440,916 = 440,916 : x
  2. Step 2: Convert to fraction form
    211,746/440,916 = 440,916/x
  3. Step 3: Cross multiply
    211,746x = 440,916 × 440,916
  4. Step 4: Simplify right side
    211,746x = 194,406,919,056
  5. Step 5: Solve for x
    x = 194,406,919,056/211,746
  6. Step 6: Final answer
    x = 918,113.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.