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Finding the Third Proportional to 508,996.50 and 787,408.50

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Solution

The third proportional to 508,996.50 and 787,408.50 is: 1,218,106.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,996.50 : 787,408.50 = 787,408.50 : x
  2. Step 2: Convert to fraction form
    508,996.50/787,408.50 = 787,408.50/x
  3. Step 3: Cross multiply
    508,996.50x = 787,408.50 × 787,408.50
  4. Step 4: Simplify right side
    508,996.50x = 620,012,145,872.25
  5. Step 5: Solve for x
    x = 620,012,145,872.25/508,996.50
  6. Step 6: Final answer
    x = 1,218,106.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.