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Finding the Third Proportional to 211,564 and 440,624

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Solution

The third proportional to 211,564 and 440,624 is: 917,686.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,564 : 440,624 = 440,624 : x
  2. Step 2: Convert to fraction form
    211,564/440,624 = 440,624/x
  3. Step 3: Cross multiply
    211,564x = 440,624 × 440,624
  4. Step 4: Simplify right side
    211,564x = 194,149,509,376
  5. Step 5: Solve for x
    x = 194,149,509,376/211,564
  6. Step 6: Final answer
    x = 917,686.89

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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.