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Finding the Third Proportional to 403,264.50 and 618,951

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Solution

The third proportional to 403,264.50 and 618,951 is: 949,997.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,264.50 : 618,951 = 618,951 : x
  2. Step 2: Convert to fraction form
    403,264.50/618,951 = 618,951/x
  3. Step 3: Cross multiply
    403,264.50x = 618,951 × 618,951
  4. Step 4: Simplify right side
    403,264.50x = 383,100,340,401
  5. Step 5: Solve for x
    x = 383,100,340,401/403,264.50
  6. Step 6: Final answer
    x = 949,997.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.