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Finding the Third Proportional to 72,210.75 and 149,022.75

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Solution

The third proportional to 72,210.75 and 149,022.75 is: 307,541.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,210.75 : 149,022.75 = 149,022.75 : x
  2. Step 2: Convert to fraction form
    72,210.75/149,022.75 = 149,022.75/x
  3. Step 3: Cross multiply
    72,210.75x = 149,022.75 × 149,022.75
  4. Step 4: Simplify right side
    72,210.75x = 22,207,780,017.56
  5. Step 5: Solve for x
    x = 22,207,780,017.56/72,210.75
  6. Step 6: Final answer
    x = 307,541.19

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.