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Finding the Third Proportional to 436,324 and 640,122

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Solution

The third proportional to 436,324 and 640,122 is: 939,109.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,324 : 640,122 = 640,122 : x
  2. Step 2: Convert to fraction form
    436,324/640,122 = 640,122/x
  3. Step 3: Cross multiply
    436,324x = 640,122 × 640,122
  4. Step 4: Simplify right side
    436,324x = 409,756,174,884
  5. Step 5: Solve for x
    x = 409,756,174,884/436,324
  6. Step 6: Final answer
    x = 939,109.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.