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Finding the Third Proportional to 427,776 and 928,408

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Solution

The third proportional to 427,776 and 928,408 is: 2,014,936.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,776 : 928,408 = 928,408 : x
  2. Step 2: Convert to fraction form
    427,776/928,408 = 928,408/x
  3. Step 3: Cross multiply
    427,776x = 928,408 × 928,408
  4. Step 4: Simplify right side
    427,776x = 861,941,414,464
  5. Step 5: Solve for x
    x = 861,941,414,464/427,776
  6. Step 6: Final answer
    x = 2,014,936.36

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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.