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Finding the Third Proportional to 275,924 and 427,382

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Solution

The third proportional to 275,924 and 427,382 is: 661,977.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,924 : 427,382 = 427,382 : x
  2. Step 2: Convert to fraction form
    275,924/427,382 = 427,382/x
  3. Step 3: Cross multiply
    275,924x = 427,382 × 427,382
  4. Step 4: Simplify right side
    275,924x = 182,655,373,924
  5. Step 5: Solve for x
    x = 182,655,373,924/275,924
  6. Step 6: Final answer
    x = 661,977.12

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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.