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Finding the Third Proportional to 131,203.13 and 208,870.31

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Solution

The third proportional to 131,203.13 and 208,870.31 is: 332,513.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,203.13 : 208,870.31 = 208,870.31 : x
  2. Step 2: Convert to fraction form
    131,203.13/208,870.31 = 208,870.31/x
  3. Step 3: Cross multiply
    131,203.13x = 208,870.31 × 208,870.31
  4. Step 4: Simplify right side
    131,203.13x = 43,626,807,443.85
  5. Step 5: Solve for x
    x = 43,626,807,443.85/131,203.13
  6. Step 6: Final answer
    x = 332,513.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.