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Finding the Third Proportional to 135,980 and 291,645

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Solution

The third proportional to 135,980 and 291,645 is: 625,509.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,980 : 291,645 = 291,645 : x
  2. Step 2: Convert to fraction form
    135,980/291,645 = 291,645/x
  3. Step 3: Cross multiply
    135,980x = 291,645 × 291,645
  4. Step 4: Simplify right side
    135,980x = 85,056,806,025
  5. Step 5: Solve for x
    x = 85,056,806,025/135,980
  6. Step 6: Final answer
    x = 625,509.68

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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.