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Finding the Third Proportional to 508,504.50 and 690,606

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Solution

The third proportional to 508,504.50 and 690,606 is: 937,920.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,504.50 : 690,606 = 690,606 : x
  2. Step 2: Convert to fraction form
    508,504.50/690,606 = 690,606/x
  3. Step 3: Cross multiply
    508,504.50x = 690,606 × 690,606
  4. Step 4: Simplify right side
    508,504.50x = 476,936,647,236
  5. Step 5: Solve for x
    x = 476,936,647,236/508,504.50
  6. Step 6: Final answer
    x = 937,920.21

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.