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Finding the Third Proportional to 51,430 and 104,291

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Solution

The third proportional to 51,430 and 104,291 is: 211,483.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,430 : 104,291 = 104,291 : x
  2. Step 2: Convert to fraction form
    51,430/104,291 = 104,291/x
  3. Step 3: Cross multiply
    51,430x = 104,291 × 104,291
  4. Step 4: Simplify right side
    51,430x = 10,876,612,681
  5. Step 5: Solve for x
    x = 10,876,612,681/51,430
  6. Step 6: Final answer
    x = 211,483.82

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.