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Finding the Third Proportional to 305,967.38 and 505,652.63

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Solution

The third proportional to 305,967.38 and 505,652.63 is: 835,659.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,967.38 : 505,652.63 = 505,652.63 : x
  2. Step 2: Convert to fraction form
    305,967.38/505,652.63 = 505,652.63/x
  3. Step 3: Cross multiply
    305,967.38x = 505,652.63 × 505,652.63
  4. Step 4: Simplify right side
    305,967.38x = 255,684,577,169.39
  5. Step 5: Solve for x
    x = 255,684,577,169.39/305,967.38
  6. Step 6: Final answer
    x = 835,659.61

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.