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Finding the Third Proportional to 515,329 and 770,623

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Solution

The third proportional to 515,329 and 770,623 is: 1,152,389.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,329 : 770,623 = 770,623 : x
  2. Step 2: Convert to fraction form
    515,329/770,623 = 770,623/x
  3. Step 3: Cross multiply
    515,329x = 770,623 × 770,623
  4. Step 4: Simplify right side
    515,329x = 593,859,808,129
  5. Step 5: Solve for x
    x = 593,859,808,129/515,329
  6. Step 6: Final answer
    x = 1,152,389.65

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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.