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Finding the Third Proportional to 206,619.61 and 313,048.55

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Solution

The third proportional to 206,619.61 and 313,048.55 is: 474,298.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,619.61 : 313,048.55 = 313,048.55 : x
  2. Step 2: Convert to fraction form
    206,619.61/313,048.55 = 313,048.55/x
  3. Step 3: Cross multiply
    206,619.61x = 313,048.55 × 313,048.55
  4. Step 4: Simplify right side
    206,619.61x = 97,999,392,700.55
  5. Step 5: Solve for x
    x = 97,999,392,700.55/206,619.61
  6. Step 6: Final answer
    x = 474,298.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.