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Finding the Third Proportional to 56,272 and 131,464

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Solution

The third proportional to 56,272 and 131,464 is: 307,129.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,272 : 131,464 = 131,464 : x
  2. Step 2: Convert to fraction form
    56,272/131,464 = 131,464/x
  3. Step 3: Cross multiply
    56,272x = 131,464 × 131,464
  4. Step 4: Simplify right side
    56,272x = 17,282,783,296
  5. Step 5: Solve for x
    x = 17,282,783,296/56,272
  6. Step 6: Final answer
    x = 307,129.36

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.