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Finding the Third Proportional to 263,271 and 418,453.50

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Solution

The third proportional to 263,271 and 418,453.50 is: 665,106.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,271 : 418,453.50 = 418,453.50 : x
  2. Step 2: Convert to fraction form
    263,271/418,453.50 = 418,453.50/x
  3. Step 3: Cross multiply
    263,271x = 418,453.50 × 418,453.50
  4. Step 4: Simplify right side
    263,271x = 175,103,331,662.25
  5. Step 5: Solve for x
    x = 175,103,331,662.25/263,271
  6. Step 6: Final answer
    x = 665,106.80

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.