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Finding the Third Proportional to 144,214.80 and 315,581.06

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Solution

The third proportional to 144,214.80 and 315,581.06 is: 690,576.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,214.80 : 315,581.06 = 315,581.06 : x
  2. Step 2: Convert to fraction form
    144,214.80/315,581.06 = 315,581.06/x
  3. Step 3: Cross multiply
    144,214.80x = 315,581.06 × 315,581.06
  4. Step 4: Simplify right side
    144,214.80x = 99,591,407,008.63
  5. Step 5: Solve for x
    x = 99,591,407,008.63/144,214.80
  6. Step 6: Final answer
    x = 690,576.86

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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.