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Finding the Third Proportional to 427,760 and 928,376

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Solution

The third proportional to 427,760 and 928,376 is: 2,014,872.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,760 : 928,376 = 928,376 : x
  2. Step 2: Convert to fraction form
    427,760/928,376 = 928,376/x
  3. Step 3: Cross multiply
    427,760x = 928,376 × 928,376
  4. Step 4: Simplify right side
    427,760x = 861,881,997,376
  5. Step 5: Solve for x
    x = 861,881,997,376/427,760
  6. Step 6: Final answer
    x = 2,014,872.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.