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Finding the Third Proportional to 345,069 and 505,998

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Solution

The third proportional to 345,069 and 505,998 is: 741,979.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,069 : 505,998 = 505,998 : x
  2. Step 2: Convert to fraction form
    345,069/505,998 = 505,998/x
  3. Step 3: Cross multiply
    345,069x = 505,998 × 505,998
  4. Step 4: Simplify right side
    345,069x = 256,033,976,004
  5. Step 5: Solve for x
    x = 256,033,976,004/345,069
  6. Step 6: Final answer
    x = 741,979.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.