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Finding the Third Proportional to 307,876 and 671,480

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Solution

The third proportional to 307,876 and 671,480 is: 1,464,503.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,876 : 671,480 = 671,480 : x
  2. Step 2: Convert to fraction form
    307,876/671,480 = 671,480/x
  3. Step 3: Cross multiply
    307,876x = 671,480 × 671,480
  4. Step 4: Simplify right side
    307,876x = 450,885,390,400
  5. Step 5: Solve for x
    x = 450,885,390,400/307,876
  6. Step 6: Final answer
    x = 1,464,503.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.