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Finding the Third Proportional to 427,400 and 676,778

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Solution

The third proportional to 427,400 and 676,778 is: 1,071,662.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,400 : 676,778 = 676,778 : x
  2. Step 2: Convert to fraction form
    427,400/676,778 = 676,778/x
  3. Step 3: Cross multiply
    427,400x = 676,778 × 676,778
  4. Step 4: Simplify right side
    427,400x = 458,028,461,284
  5. Step 5: Solve for x
    x = 458,028,461,284/427,400
  6. Step 6: Final answer
    x = 1,071,662.29

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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.