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Finding the Third Proportional to 291,186 and 617,364

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Solution

The third proportional to 291,186 and 617,364 is: 1,308,917.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,186 : 617,364 = 617,364 : x
  2. Step 2: Convert to fraction form
    291,186/617,364 = 617,364/x
  3. Step 3: Cross multiply
    291,186x = 617,364 × 617,364
  4. Step 4: Simplify right side
    291,186x = 381,138,308,496
  5. Step 5: Solve for x
    x = 381,138,308,496/291,186
  6. Step 6: Final answer
    x = 1,308,917.01

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.