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Finding the Third Proportional to 452,646 and 942,471

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Solution

The third proportional to 452,646 and 942,471 is: 1,962,353.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,646 : 942,471 = 942,471 : x
  2. Step 2: Convert to fraction form
    452,646/942,471 = 942,471/x
  3. Step 3: Cross multiply
    452,646x = 942,471 × 942,471
  4. Step 4: Simplify right side
    452,646x = 888,251,585,841
  5. Step 5: Solve for x
    x = 888,251,585,841/452,646
  6. Step 6: Final answer
    x = 1,962,353.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.