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Finding the Third Proportional to 638,073 and 1,401,933

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Solution

The third proportional to 638,073 and 1,401,933 is: 3,080,237.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,073 : 1,401,933 = 1,401,933 : x
  2. Step 2: Convert to fraction form
    638,073/1,401,933 = 1,401,933/x
  3. Step 3: Cross multiply
    638,073x = 1,401,933 × 1,401,933
  4. Step 4: Simplify right side
    638,073x = 1,965,416,136,489
  5. Step 5: Solve for x
    x = 1,965,416,136,489/638,073
  6. Step 6: Final answer
    x = 3,080,237.11

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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.