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Finding the Third Proportional to 144,488.81 and 311,212.13

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Solution

The third proportional to 144,488.81 and 311,212.13 is: 670,314.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,488.81 : 311,212.13 = 311,212.13 : x
  2. Step 2: Convert to fraction form
    144,488.81/311,212.13 = 311,212.13/x
  3. Step 3: Cross multiply
    144,488.81x = 311,212.13 × 311,212.13
  4. Step 4: Simplify right side
    144,488.81x = 96,852,986,747.02
  5. Step 5: Solve for x
    x = 96,852,986,747.02/144,488.81
  6. Step 6: Final answer
    x = 670,314.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.