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Finding the Third Proportional to 44,010 and 65,846.25

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Solution

The third proportional to 44,010 and 65,846.25 is: 98,516.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,010 : 65,846.25 = 65,846.25 : x
  2. Step 2: Convert to fraction form
    44,010/65,846.25 = 65,846.25/x
  3. Step 3: Cross multiply
    44,010x = 65,846.25 × 65,846.25
  4. Step 4: Simplify right side
    44,010x = 4,335,728,639.06
  5. Step 5: Solve for x
    x = 4,335,728,639.06/44,010
  6. Step 6: Final answer
    x = 98,516.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.