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Finding the Third Proportional to 427,205 and 909,625

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Solution

The third proportional to 427,205 and 909,625 is: 1,936,816.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,205 : 909,625 = 909,625 : x
  2. Step 2: Convert to fraction form
    427,205/909,625 = 909,625/x
  3. Step 3: Cross multiply
    427,205x = 909,625 × 909,625
  4. Step 4: Simplify right side
    427,205x = 827,417,640,625
  5. Step 5: Solve for x
    x = 827,417,640,625/427,205
  6. Step 6: Final answer
    x = 1,936,816.38

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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.