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Finding the Third Proportional to 44,536 and 92,746

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Solution

The third proportional to 44,536 and 92,746 is: 193,143.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,536 : 92,746 = 92,746 : x
  2. Step 2: Convert to fraction form
    44,536/92,746 = 92,746/x
  3. Step 3: Cross multiply
    44,536x = 92,746 × 92,746
  4. Step 4: Simplify right side
    44,536x = 8,601,820,516
  5. Step 5: Solve for x
    x = 8,601,820,516/44,536
  6. Step 6: Final answer
    x = 193,143.09

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.