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Finding the Third Proportional to 437,148 and 940,726

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Solution

The third proportional to 437,148 and 940,726 is: 2,024,406.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,148 : 940,726 = 940,726 : x
  2. Step 2: Convert to fraction form
    437,148/940,726 = 940,726/x
  3. Step 3: Cross multiply
    437,148x = 940,726 × 940,726
  4. Step 4: Simplify right side
    437,148x = 884,965,407,076
  5. Step 5: Solve for x
    x = 884,965,407,076/437,148
  6. Step 6: Final answer
    x = 2,024,406.85

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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.