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Finding the Third Proportional to 144,205.31 and 315,563.34

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Solution

The third proportional to 144,205.31 and 315,563.34 is: 690,544.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,205.31 : 315,563.34 = 315,563.34 : x
  2. Step 2: Convert to fraction form
    144,205.31/315,563.34 = 315,563.34/x
  3. Step 3: Cross multiply
    144,205.31x = 315,563.34 × 315,563.34
  4. Step 4: Simplify right side
    144,205.31x = 99,580,223,918.68
  5. Step 5: Solve for x
    x = 99,580,223,918.68/144,205.31
  6. Step 6: Final answer
    x = 690,544.77

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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.