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Finding the Third Proportional to 142,709.98 and 313,668.70

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Solution

The third proportional to 142,709.98 and 313,668.70 is: 689,426.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,709.98 : 313,668.70 = 313,668.70 : x
  2. Step 2: Convert to fraction form
    142,709.98/313,668.70 = 313,668.70/x
  3. Step 3: Cross multiply
    142,709.98x = 313,668.70 × 313,668.70
  4. Step 4: Simplify right side
    142,709.98x = 98,388,055,320.12
  5. Step 5: Solve for x
    x = 98,388,055,320.12/142,709.98
  6. Step 6: Final answer
    x = 689,426.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.