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Finding the Third Proportional to 437,622.75 and 640,821.38

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Solution

The third proportional to 437,622.75 and 640,821.38 is: 938,369.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,622.75 : 640,821.38 = 640,821.38 : x
  2. Step 2: Convert to fraction form
    437,622.75/640,821.38 = 640,821.38/x
  3. Step 3: Cross multiply
    437,622.75x = 640,821.38 × 640,821.38
  4. Step 4: Simplify right side
    437,622.75x = 410,652,034,656.89
  5. Step 5: Solve for x
    x = 410,652,034,656.89/437,622.75
  6. Step 6: Final answer
    x = 938,369.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.