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Finding the Third Proportional to 438,439 and 942,146

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Solution

The third proportional to 438,439 and 942,146 is: 2,024,544.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,439 : 942,146 = 942,146 : x
  2. Step 2: Convert to fraction form
    438,439/942,146 = 942,146/x
  3. Step 3: Cross multiply
    438,439x = 942,146 × 942,146
  4. Step 4: Simplify right side
    438,439x = 887,639,085,316
  5. Step 5: Solve for x
    x = 887,639,085,316/438,439
  6. Step 6: Final answer
    x = 2,024,544.09

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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.