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Finding the Third Proportional to 136,366 and 291,686

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Solution

The third proportional to 136,366 and 291,686 is: 623,914.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,366 : 291,686 = 291,686 : x
  2. Step 2: Convert to fraction form
    136,366/291,686 = 291,686/x
  3. Step 3: Cross multiply
    136,366x = 291,686 × 291,686
  4. Step 4: Simplify right side
    136,366x = 85,080,722,596
  5. Step 5: Solve for x
    x = 85,080,722,596/136,366
  6. Step 6: Final answer
    x = 623,914.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.