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Finding the Third Proportional to 620,911 and 936,228

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Solution

The third proportional to 620,911 and 936,228 is: 1,411,672.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,911 : 936,228 = 936,228 : x
  2. Step 2: Convert to fraction form
    620,911/936,228 = 936,228/x
  3. Step 3: Cross multiply
    620,911x = 936,228 × 936,228
  4. Step 4: Simplify right side
    620,911x = 876,522,867,984
  5. Step 5: Solve for x
    x = 876,522,867,984/620,911
  6. Step 6: Final answer
    x = 1,411,672.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.