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Finding the Third Proportional to 515,737 and 774,579

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Solution

The third proportional to 515,737 and 774,579 is: 1,163,330.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,737 : 774,579 = 774,579 : x
  2. Step 2: Convert to fraction form
    515,737/774,579 = 774,579/x
  3. Step 3: Cross multiply
    515,737x = 774,579 × 774,579
  4. Step 4: Simplify right side
    515,737x = 599,972,627,241
  5. Step 5: Solve for x
    x = 599,972,627,241/515,737
  6. Step 6: Final answer
    x = 1,163,330.59

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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.