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Finding the Third Proportional to 427,515 and 676,922

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Solution

The third proportional to 427,515 and 676,922 is: 1,071,829.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,515 : 676,922 = 676,922 : x
  2. Step 2: Convert to fraction form
    427,515/676,922 = 676,922/x
  3. Step 3: Cross multiply
    427,515x = 676,922 × 676,922
  4. Step 4: Simplify right side
    427,515x = 458,223,394,084
  5. Step 5: Solve for x
    x = 458,223,394,084/427,515
  6. Step 6: Final answer
    x = 1,071,829.98

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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.