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Finding the Third Proportional to 521,424 and 787,968

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Solution

The third proportional to 521,424 and 787,968 is: 1,190,765.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,424 : 787,968 = 787,968 : x
  2. Step 2: Convert to fraction form
    521,424/787,968 = 787,968/x
  3. Step 3: Cross multiply
    521,424x = 787,968 × 787,968
  4. Step 4: Simplify right side
    521,424x = 620,893,569,024
  5. Step 5: Solve for x
    x = 620,893,569,024/521,424
  6. Step 6: Final answer
    x = 1,190,765.23

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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.