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Finding the Third Proportional to 135,434 and 291,681

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Solution

The third proportional to 135,434 and 291,681 is: 628,186.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,434 : 291,681 = 291,681 : x
  2. Step 2: Convert to fraction form
    135,434/291,681 = 291,681/x
  3. Step 3: Cross multiply
    135,434x = 291,681 × 291,681
  4. Step 4: Simplify right side
    135,434x = 85,077,805,761
  5. Step 5: Solve for x
    x = 85,077,805,761/135,434
  6. Step 6: Final answer
    x = 628,186.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.