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Finding the Third Proportional to 92,496 and 125,333

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Solution

The third proportional to 92,496 and 125,333 is: 169,827.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,496 : 125,333 = 125,333 : x
  2. Step 2: Convert to fraction form
    92,496/125,333 = 125,333/x
  3. Step 3: Cross multiply
    92,496x = 125,333 × 125,333
  4. Step 4: Simplify right side
    92,496x = 15,708,360,889
  5. Step 5: Solve for x
    x = 15,708,360,889/92,496
  6. Step 6: Final answer
    x = 169,827.46

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.