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Finding the Third Proportional to 127,878 and 266,178

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Solution

The third proportional to 127,878 and 266,178 is: 554,049.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,878 : 266,178 = 266,178 : x
  2. Step 2: Convert to fraction form
    127,878/266,178 = 266,178/x
  3. Step 3: Cross multiply
    127,878x = 266,178 × 266,178
  4. Step 4: Simplify right side
    127,878x = 70,850,727,684
  5. Step 5: Solve for x
    x = 70,850,727,684/127,878
  6. Step 6: Final answer
    x = 554,049.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.