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Finding the Third Proportional to 195,021 and 291,255

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Solution

The third proportional to 195,021 and 291,255 is: 434,976.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,021 : 291,255 = 291,255 : x
  2. Step 2: Convert to fraction form
    195,021/291,255 = 291,255/x
  3. Step 3: Cross multiply
    195,021x = 291,255 × 291,255
  4. Step 4: Simplify right side
    195,021x = 84,829,475,025
  5. Step 5: Solve for x
    x = 84,829,475,025/195,021
  6. Step 6: Final answer
    x = 434,976.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.