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Finding the Third Proportional to 301,447 and 663,616

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Solution

The third proportional to 301,447 and 663,616 is: 1,460,907.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,447 : 663,616 = 663,616 : x
  2. Step 2: Convert to fraction form
    301,447/663,616 = 663,616/x
  3. Step 3: Cross multiply
    301,447x = 663,616 × 663,616
  4. Step 4: Simplify right side
    301,447x = 440,386,195,456
  5. Step 5: Solve for x
    x = 440,386,195,456/301,447
  6. Step 6: Final answer
    x = 1,460,907.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.