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Finding the Third Proportional to 454,453.50 and 691,123.50

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Solution

The third proportional to 454,453.50 and 691,123.50 is: 1,051,046.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,453.50 : 691,123.50 = 691,123.50 : x
  2. Step 2: Convert to fraction form
    454,453.50/691,123.50 = 691,123.50/x
  3. Step 3: Cross multiply
    454,453.50x = 691,123.50 × 691,123.50
  4. Step 4: Simplify right side
    454,453.50x = 477,651,692,252.25
  5. Step 5: Solve for x
    x = 477,651,692,252.25/454,453.50
  6. Step 6: Final answer
    x = 1,051,046.35

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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.