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Finding the Third Proportional to 438,440 and 942,147

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Solution

The third proportional to 438,440 and 942,147 is: 2,024,543.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,440 : 942,147 = 942,147 : x
  2. Step 2: Convert to fraction form
    438,440/942,147 = 942,147/x
  3. Step 3: Cross multiply
    438,440x = 942,147 × 942,147
  4. Step 4: Simplify right side
    438,440x = 887,640,969,609
  5. Step 5: Solve for x
    x = 887,640,969,609/438,440
  6. Step 6: Final answer
    x = 2,024,543.77

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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.