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Finding the Third Proportional to 275,906 and 427,385

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Solution

The third proportional to 275,906 and 427,385 is: 662,029.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,906 : 427,385 = 427,385 : x
  2. Step 2: Convert to fraction form
    275,906/427,385 = 427,385/x
  3. Step 3: Cross multiply
    275,906x = 427,385 × 427,385
  4. Step 4: Simplify right side
    275,906x = 182,657,938,225
  5. Step 5: Solve for x
    x = 182,657,938,225/275,906
  6. Step 6: Final answer
    x = 662,029.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.