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Finding the Third Proportional to 345,837 and 518,755.50

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Solution

The third proportional to 345,837 and 518,755.50 is: 778,133.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,837 : 518,755.50 = 518,755.50 : x
  2. Step 2: Convert to fraction form
    345,837/518,755.50 = 518,755.50/x
  3. Step 3: Cross multiply
    345,837x = 518,755.50 × 518,755.50
  4. Step 4: Simplify right side
    345,837x = 269,107,268,780.25
  5. Step 5: Solve for x
    x = 269,107,268,780.25/345,837
  6. Step 6: Final answer
    x = 778,133.25

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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.