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Finding the Third Proportional to 409,372.50 and 620,419.50

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Solution

The third proportional to 409,372.50 and 620,419.50 is: 940,269.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,372.50 : 620,419.50 = 620,419.50 : x
  2. Step 2: Convert to fraction form
    409,372.50/620,419.50 = 620,419.50/x
  3. Step 3: Cross multiply
    409,372.50x = 620,419.50 × 620,419.50
  4. Step 4: Simplify right side
    409,372.50x = 384,920,355,980.25
  5. Step 5: Solve for x
    x = 384,920,355,980.25/409,372.50
  6. Step 6: Final answer
    x = 940,269.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.