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Finding the Third Proportional to 431,642 and 939,915

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Solution

The third proportional to 431,642 and 939,915 is: 2,046,696.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,642 : 939,915 = 939,915 : x
  2. Step 2: Convert to fraction form
    431,642/939,915 = 939,915/x
  3. Step 3: Cross multiply
    431,642x = 939,915 × 939,915
  4. Step 4: Simplify right side
    431,642x = 883,440,207,225
  5. Step 5: Solve for x
    x = 883,440,207,225/431,642
  6. Step 6: Final answer
    x = 2,046,696.58

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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.