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Finding the Third Proportional to 408,683.25 and 890,931.38

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Solution

The third proportional to 408,683.25 and 890,931.38 is: 1,942,234.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,683.25 : 890,931.38 = 890,931.38 : x
  2. Step 2: Convert to fraction form
    408,683.25/890,931.38 = 890,931.38/x
  3. Step 3: Cross multiply
    408,683.25x = 890,931.38 × 890,931.38
  4. Step 4: Simplify right side
    408,683.25x = 793,758,714,959.39
  5. Step 5: Solve for x
    x = 793,758,714,959.39/408,683.25
  6. Step 6: Final answer
    x = 1,942,234.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.