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Finding the Third Proportional to 144,220.50 and 313,318.13

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Solution

The third proportional to 144,220.50 and 313,318.13 is: 680,681.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,220.50 : 313,318.13 = 313,318.13 : x
  2. Step 2: Convert to fraction form
    144,220.50/313,318.13 = 313,318.13/x
  3. Step 3: Cross multiply
    144,220.50x = 313,318.13 × 313,318.13
  4. Step 4: Simplify right side
    144,220.50x = 98,168,247,453.52
  5. Step 5: Solve for x
    x = 98,168,247,453.52/144,220.50
  6. Step 6: Final answer
    x = 680,681.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.