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Finding the Third Proportional to 315,606.75 and 443,923.13

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Solution

The third proportional to 315,606.75 and 443,923.13 is: 624,409.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,606.75 : 443,923.13 = 443,923.13 : x
  2. Step 2: Convert to fraction form
    315,606.75/443,923.13 = 443,923.13/x
  3. Step 3: Cross multiply
    315,606.75x = 443,923.13 × 443,923.13
  4. Step 4: Simplify right side
    315,606.75x = 197,067,740,909.77
  5. Step 5: Solve for x
    x = 197,067,740,909.77/315,606.75
  6. Step 6: Final answer
    x = 624,409.14

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.