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Finding the Third Proportional to 291,132 and 629,011

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Solution

The third proportional to 291,132 and 629,011 is: 1,359,022.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,132 : 629,011 = 629,011 : x
  2. Step 2: Convert to fraction form
    291,132/629,011 = 629,011/x
  3. Step 3: Cross multiply
    291,132x = 629,011 × 629,011
  4. Step 4: Simplify right side
    291,132x = 395,654,838,121
  5. Step 5: Solve for x
    x = 395,654,838,121/291,132
  6. Step 6: Final answer
    x = 1,359,022.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.