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Finding the Third Proportional to 345,976.50 and 486,998

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Solution

The third proportional to 345,976.50 and 486,998 is: 685,500.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,976.50 : 486,998 = 486,998 : x
  2. Step 2: Convert to fraction form
    345,976.50/486,998 = 486,998/x
  3. Step 3: Cross multiply
    345,976.50x = 486,998 × 486,998
  4. Step 4: Simplify right side
    345,976.50x = 237,167,052,004
  5. Step 5: Solve for x
    x = 237,167,052,004/345,976.50
  6. Step 6: Final answer
    x = 685,500.47

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.