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Finding the Third Proportional to 346,806 and 518,805

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Solution

The third proportional to 346,806 and 518,805 is: 776,107.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,806 : 518,805 = 518,805 : x
  2. Step 2: Convert to fraction form
    346,806/518,805 = 518,805/x
  3. Step 3: Cross multiply
    346,806x = 518,805 × 518,805
  4. Step 4: Simplify right side
    346,806x = 269,158,628,025
  5. Step 5: Solve for x
    x = 269,158,628,025/346,806
  6. Step 6: Final answer
    x = 776,107.18

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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.