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Finding the Third Proportional to 72,299.25 and 149,210.25

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Solution

The third proportional to 72,299.25 and 149,210.25 is: 307,938.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,299.25 : 149,210.25 = 149,210.25 : x
  2. Step 2: Convert to fraction form
    72,299.25/149,210.25 = 149,210.25/x
  3. Step 3: Cross multiply
    72,299.25x = 149,210.25 × 149,210.25
  4. Step 4: Simplify right side
    72,299.25x = 22,263,698,705.06
  5. Step 5: Solve for x
    x = 22,263,698,705.06/72,299.25
  6. Step 6: Final answer
    x = 307,938.17

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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.