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Finding the Third Proportional to 208,870.13 and 313,764.38

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Solution

The third proportional to 208,870.13 and 313,764.38 is: 471,336.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,870.13 : 313,764.38 = 313,764.38 : x
  2. Step 2: Convert to fraction form
    208,870.13/313,764.38 = 313,764.38/x
  3. Step 3: Cross multiply
    208,870.13x = 313,764.38 × 313,764.38
  4. Step 4: Simplify right side
    208,870.13x = 98,448,083,019.14
  5. Step 5: Solve for x
    x = 98,448,083,019.14/208,870.13
  6. Step 6: Final answer
    x = 471,336.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.