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Finding the Third Proportional to 130,288.50 and 206,474.06

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Solution

The third proportional to 130,288.50 and 206,474.06 is: 327,208.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,288.50 : 206,474.06 = 206,474.06 : x
  2. Step 2: Convert to fraction form
    130,288.50/206,474.06 = 206,474.06/x
  3. Step 3: Cross multiply
    130,288.50x = 206,474.06 × 206,474.06
  4. Step 4: Simplify right side
    130,288.50x = 42,631,538,485.25
  5. Step 5: Solve for x
    x = 42,631,538,485.25/130,288.50
  6. Step 6: Final answer
    x = 327,208.76

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.