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Finding the Third Proportional to 135,969 and 291,619

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Solution

The third proportional to 135,969 and 291,619 is: 625,448.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,969 : 291,619 = 291,619 : x
  2. Step 2: Convert to fraction form
    135,969/291,619 = 291,619/x
  3. Step 3: Cross multiply
    135,969x = 291,619 × 291,619
  4. Step 4: Simplify right side
    135,969x = 85,041,641,161
  5. Step 5: Solve for x
    x = 85,041,641,161/135,969
  6. Step 6: Final answer
    x = 625,448.75

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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.