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Finding the Third Proportional to 127,178 and 251,155

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Solution

The third proportional to 127,178 and 251,155 is: 495,988.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,178 : 251,155 = 251,155 : x
  2. Step 2: Convert to fraction form
    127,178/251,155 = 251,155/x
  3. Step 3: Cross multiply
    127,178x = 251,155 × 251,155
  4. Step 4: Simplify right side
    127,178x = 63,078,834,025
  5. Step 5: Solve for x
    x = 63,078,834,025/127,178
  6. Step 6: Final answer
    x = 495,988.57

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.