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Finding the Third Proportional to 45,999 and 68,130

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Solution

The third proportional to 45,999 and 68,130 is: 100,908.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,999 : 68,130 = 68,130 : x
  2. Step 2: Convert to fraction form
    45,999/68,130 = 68,130/x
  3. Step 3: Cross multiply
    45,999x = 68,130 × 68,130
  4. Step 4: Simplify right side
    45,999x = 4,641,696,900
  5. Step 5: Solve for x
    x = 4,641,696,900/45,999
  6. Step 6: Final answer
    x = 100,908.65

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.