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Finding the Third Proportional to 144,615.38 and 313,363.69

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Solution

The third proportional to 144,615.38 and 313,363.69 is: 679,020.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,615.38 : 313,363.69 = 313,363.69 : x
  2. Step 2: Convert to fraction form
    144,615.38/313,363.69 = 313,363.69/x
  3. Step 3: Cross multiply
    144,615.38x = 313,363.69 × 313,363.69
  4. Step 4: Simplify right side
    144,615.38x = 98,196,800,643.60
  5. Step 5: Solve for x
    x = 98,196,800,643.60/144,615.38
  6. Step 6: Final answer
    x = 679,020.48

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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.