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Finding the Third Proportional to 415,219.50 and 650,506.50

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Solution

The third proportional to 415,219.50 and 650,506.50 is: 1,019,120.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,219.50 : 650,506.50 = 650,506.50 : x
  2. Step 2: Convert to fraction form
    415,219.50/650,506.50 = 650,506.50/x
  3. Step 3: Cross multiply
    415,219.50x = 650,506.50 × 650,506.50
  4. Step 4: Simplify right side
    415,219.50x = 423,158,706,542.25
  5. Step 5: Solve for x
    x = 423,158,706,542.25/415,219.50
  6. Step 6: Final answer
    x = 1,019,120.51

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.