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Finding the Third Proportional to 455,953 and 684,173

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Solution

The third proportional to 455,953 and 684,173 is: 1,026,624.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,953 : 684,173 = 684,173 : x
  2. Step 2: Convert to fraction form
    455,953/684,173 = 684,173/x
  3. Step 3: Cross multiply
    455,953x = 684,173 × 684,173
  4. Step 4: Simplify right side
    455,953x = 468,092,693,929
  5. Step 5: Solve for x
    x = 468,092,693,929/455,953
  6. Step 6: Final answer
    x = 1,026,624.88

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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.