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Finding the Third Proportional to 515,353.50 and 770,661

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Solution

The third proportional to 515,353.50 and 770,661 is: 1,152,448.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,353.50 : 770,661 = 770,661 : x
  2. Step 2: Convert to fraction form
    515,353.50/770,661 = 770,661/x
  3. Step 3: Cross multiply
    515,353.50x = 770,661 × 770,661
  4. Step 4: Simplify right side
    515,353.50x = 593,918,376,921
  5. Step 5: Solve for x
    x = 593,918,376,921/515,353.50
  6. Step 6: Final answer
    x = 1,152,448.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.