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Finding the Third Proportional to 438,617 and 942,503

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Solution

The third proportional to 438,617 and 942,503 is: 2,025,256.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,617 : 942,503 = 942,503 : x
  2. Step 2: Convert to fraction form
    438,617/942,503 = 942,503/x
  3. Step 3: Cross multiply
    438,617x = 942,503 × 942,503
  4. Step 4: Simplify right side
    438,617x = 888,311,905,009
  5. Step 5: Solve for x
    x = 888,311,905,009/438,617
  6. Step 6: Final answer
    x = 2,025,256.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.