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Finding the Third Proportional to 409,515.75 and 647,534.25

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Solution

The third proportional to 409,515.75 and 647,534.25 is: 1,023,893.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,515.75 : 647,534.25 = 647,534.25 : x
  2. Step 2: Convert to fraction form
    409,515.75/647,534.25 = 647,534.25/x
  3. Step 3: Cross multiply
    409,515.75x = 647,534.25 × 647,534.25
  4. Step 4: Simplify right side
    409,515.75x = 419,300,604,923.06
  5. Step 5: Solve for x
    x = 419,300,604,923.06/409,515.75
  6. Step 6: Final answer
    x = 1,023,893.72

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.