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Finding the Third Proportional to 439,368 and 663,912

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Solution

The third proportional to 439,368 and 663,912 is: 1,003,211.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,368 : 663,912 = 663,912 : x
  2. Step 2: Convert to fraction form
    439,368/663,912 = 663,912/x
  3. Step 3: Cross multiply
    439,368x = 663,912 × 663,912
  4. Step 4: Simplify right side
    439,368x = 440,779,143,744
  5. Step 5: Solve for x
    x = 440,779,143,744/439,368
  6. Step 6: Final answer
    x = 1,003,211.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.