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Finding the Third Proportional to 436,317 and 640,107

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Solution

The third proportional to 436,317 and 640,107 is: 939,080.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,317 : 640,107 = 640,107 : x
  2. Step 2: Convert to fraction form
    436,317/640,107 = 640,107/x
  3. Step 3: Cross multiply
    436,317x = 640,107 × 640,107
  4. Step 4: Simplify right side
    436,317x = 409,736,971,449
  5. Step 5: Solve for x
    x = 409,736,971,449/436,317
  6. Step 6: Final answer
    x = 939,080.92

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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.