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Finding the Third Proportional to 56,381 and 133,570

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Solution

The third proportional to 56,381 and 133,570 is: 316,435.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,381 : 133,570 = 133,570 : x
  2. Step 2: Convert to fraction form
    56,381/133,570 = 133,570/x
  3. Step 3: Cross multiply
    56,381x = 133,570 × 133,570
  4. Step 4: Simplify right side
    56,381x = 17,840,944,900
  5. Step 5: Solve for x
    x = 17,840,944,900/56,381
  6. Step 6: Final answer
    x = 316,435.41

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.