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Finding the Third Proportional to 144,233.25 and 315,611.63

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Solution

The third proportional to 144,233.25 and 315,611.63 is: 690,622.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,233.25 : 315,611.63 = 315,611.63 : x
  2. Step 2: Convert to fraction form
    144,233.25/315,611.63 = 315,611.63/x
  3. Step 3: Cross multiply
    144,233.25x = 315,611.63 × 315,611.63
  4. Step 4: Simplify right side
    144,233.25x = 99,610,697,835.14
  5. Step 5: Solve for x
    x = 99,610,697,835.14/144,233.25
  6. Step 6: Final answer
    x = 690,622.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.