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Finding the Third Proportional to 135,964 and 291,616

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Solution

The third proportional to 135,964 and 291,616 is: 625,458.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,964 : 291,616 = 291,616 : x
  2. Step 2: Convert to fraction form
    135,964/291,616 = 291,616/x
  3. Step 3: Cross multiply
    135,964x = 291,616 × 291,616
  4. Step 4: Simplify right side
    135,964x = 85,039,891,456
  5. Step 5: Solve for x
    x = 85,039,891,456/135,964
  6. Step 6: Final answer
    x = 625,458.88

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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.