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Finding the Third Proportional to 427,194 and 909,603

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Solution

The third proportional to 427,194 and 909,603 is: 1,936,772.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,194 : 909,603 = 909,603 : x
  2. Step 2: Convert to fraction form
    427,194/909,603 = 909,603/x
  3. Step 3: Cross multiply
    427,194x = 909,603 × 909,603
  4. Step 4: Simplify right side
    427,194x = 827,377,617,609
  5. Step 5: Solve for x
    x = 827,377,617,609/427,194
  6. Step 6: Final answer
    x = 1,936,772.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.