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Finding the Third Proportional to 318,478 and 696,024

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Solution

The third proportional to 318,478 and 696,024 is: 1,521,139.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,478 : 696,024 = 696,024 : x
  2. Step 2: Convert to fraction form
    318,478/696,024 = 696,024/x
  3. Step 3: Cross multiply
    318,478x = 696,024 × 696,024
  4. Step 4: Simplify right side
    318,478x = 484,449,408,576
  5. Step 5: Solve for x
    x = 484,449,408,576/318,478
  6. Step 6: Final answer
    x = 1,521,139.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.