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Finding the Third Proportional to 131,444 and 275,440

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Solution

The third proportional to 131,444 and 275,440 is: 577,182.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,444 : 275,440 = 275,440 : x
  2. Step 2: Convert to fraction form
    131,444/275,440 = 275,440/x
  3. Step 3: Cross multiply
    131,444x = 275,440 × 275,440
  4. Step 4: Simplify right side
    131,444x = 75,867,193,600
  5. Step 5: Solve for x
    x = 75,867,193,600/131,444
  6. Step 6: Final answer
    x = 577,182.63

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.