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Finding the Third Proportional to 127,778 and 200,477

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Solution

The third proportional to 127,778 and 200,477 is: 314,537.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,778 : 200,477 = 200,477 : x
  2. Step 2: Convert to fraction form
    127,778/200,477 = 200,477/x
  3. Step 3: Cross multiply
    127,778x = 200,477 × 200,477
  4. Step 4: Simplify right side
    127,778x = 40,191,027,529
  5. Step 5: Solve for x
    x = 40,191,027,529/127,778
  6. Step 6: Final answer
    x = 314,537.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.