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Finding the Third Proportional to 291,310 and 418,107

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Solution

The third proportional to 291,310 and 418,107 is: 600,094.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,310 : 418,107 = 418,107 : x
  2. Step 2: Convert to fraction form
    291,310/418,107 = 418,107/x
  3. Step 3: Cross multiply
    291,310x = 418,107 × 418,107
  4. Step 4: Simplify right side
    291,310x = 174,813,463,449
  5. Step 5: Solve for x
    x = 174,813,463,449/291,310
  6. Step 6: Final answer
    x = 600,094.28

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.