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Finding the Third Proportional to 291,172 and 633,624

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Solution

The third proportional to 291,172 and 633,624 is: 1,378,839.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,172 : 633,624 = 633,624 : x
  2. Step 2: Convert to fraction form
    291,172/633,624 = 633,624/x
  3. Step 3: Cross multiply
    291,172x = 633,624 × 633,624
  4. Step 4: Simplify right side
    291,172x = 401,479,373,376
  5. Step 5: Solve for x
    x = 401,479,373,376/291,172
  6. Step 6: Final answer
    x = 1,378,839.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.