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Finding the Third Proportional to 427,215 and 909,645

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Solution

The third proportional to 427,215 and 909,645 is: 1,936,856.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,215 : 909,645 = 909,645 : x
  2. Step 2: Convert to fraction form
    427,215/909,645 = 909,645/x
  3. Step 3: Cross multiply
    427,215x = 909,645 × 909,645
  4. Step 4: Simplify right side
    427,215x = 827,454,026,025
  5. Step 5: Solve for x
    x = 827,454,026,025/427,215
  6. Step 6: Final answer
    x = 1,936,856.21

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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.