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Finding the Third Proportional to 427,511 and 676,916

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Solution

The third proportional to 427,511 and 676,916 is: 1,071,821.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,511 : 676,916 = 676,916 : x
  2. Step 2: Convert to fraction form
    427,511/676,916 = 676,916/x
  3. Step 3: Cross multiply
    427,511x = 676,916 × 676,916
  4. Step 4: Simplify right side
    427,511x = 458,215,271,056
  5. Step 5: Solve for x
    x = 458,215,271,056/427,511
  6. Step 6: Final answer
    x = 1,071,821.01

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.