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Finding the Third Proportional to 100,716 and 216,822

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Solution

The third proportional to 100,716 and 216,822 is: 466,775.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,716 : 216,822 = 216,822 : x
  2. Step 2: Convert to fraction form
    100,716/216,822 = 216,822/x
  3. Step 3: Cross multiply
    100,716x = 216,822 × 216,822
  4. Step 4: Simplify right side
    100,716x = 47,011,779,684
  5. Step 5: Solve for x
    x = 47,011,779,684/100,716
  6. Step 6: Final answer
    x = 466,775.68

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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.