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Finding the Third Proportional to 438,390 and 942,294

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Solution

The third proportional to 438,390 and 942,294 is: 2,025,406.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,390 : 942,294 = 942,294 : x
  2. Step 2: Convert to fraction form
    438,390/942,294 = 942,294/x
  3. Step 3: Cross multiply
    438,390x = 942,294 × 942,294
  4. Step 4: Simplify right side
    438,390x = 887,917,982,436
  5. Step 5: Solve for x
    x = 887,917,982,436/438,390
  6. Step 6: Final answer
    x = 2,025,406.56

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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.