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Finding the Third Proportional to 190,121 and 265,817

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Solution

The third proportional to 190,121 and 265,817 is: 371,651.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,121 : 265,817 = 265,817 : x
  2. Step 2: Convert to fraction form
    190,121/265,817 = 265,817/x
  3. Step 3: Cross multiply
    190,121x = 265,817 × 265,817
  4. Step 4: Simplify right side
    190,121x = 70,658,677,489
  5. Step 5: Solve for x
    x = 70,658,677,489/190,121
  6. Step 6: Final answer
    x = 371,651.09

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.