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Finding the Third Proportional to 312,499.13 and 442,474.31

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Solution

The third proportional to 312,499.13 and 442,474.31 is: 626,509.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,499.13 : 442,474.31 = 442,474.31 : x
  2. Step 2: Convert to fraction form
    312,499.13/442,474.31 = 442,474.31/x
  3. Step 3: Cross multiply
    312,499.13x = 442,474.31 × 442,474.31
  4. Step 4: Simplify right side
    312,499.13x = 195,783,517,222.35
  5. Step 5: Solve for x
    x = 195,783,517,222.35/312,499.13
  6. Step 6: Final answer
    x = 626,509.01

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.