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Finding the Third Proportional to 66,989.06 and 144,913.13

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Solution

The third proportional to 66,989.06 and 144,913.13 is: 313,481.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,989.06 : 144,913.13 = 144,913.13 : x
  2. Step 2: Convert to fraction form
    66,989.06/144,913.13 = 144,913.13/x
  3. Step 3: Cross multiply
    66,989.06x = 144,913.13 × 144,913.13
  4. Step 4: Simplify right side
    66,989.06x = 20,999,813,797.27
  5. Step 5: Solve for x
    x = 20,999,813,797.27/66,989.06
  6. Step 6: Final answer
    x = 313,481.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.