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Finding the Third Proportional to 455,951.25 and 684,169.88

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Solution

The third proportional to 455,951.25 and 684,169.88 is: 1,026,619.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,951.25 : 684,169.88 = 684,169.88 : x
  2. Step 2: Convert to fraction form
    455,951.25/684,169.88 = 684,169.88/x
  3. Step 3: Cross multiply
    455,951.25x = 684,169.88 × 684,169.88
  4. Step 4: Simplify right side
    455,951.25x = 468,088,417,857.52
  5. Step 5: Solve for x
    x = 468,088,417,857.52/455,951.25
  6. Step 6: Final answer
    x = 1,026,619.44

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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.