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Finding the Third Proportional to 72,140.75 and 107,807

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Solution

The third proportional to 72,140.75 and 107,807 is: 161,106.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,140.75 : 107,807 = 107,807 : x
  2. Step 2: Convert to fraction form
    72,140.75/107,807 = 107,807/x
  3. Step 3: Cross multiply
    72,140.75x = 107,807 × 107,807
  4. Step 4: Simplify right side
    72,140.75x = 11,622,349,249
  5. Step 5: Solve for x
    x = 11,622,349,249/72,140.75
  6. Step 6: Final answer
    x = 161,106.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.