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Finding the Third Proportional to 488,686 and 688,173

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Solution

The third proportional to 488,686 and 688,173 is: 969,092.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,686 : 688,173 = 688,173 : x
  2. Step 2: Convert to fraction form
    488,686/688,173 = 688,173/x
  3. Step 3: Cross multiply
    488,686x = 688,173 × 688,173
  4. Step 4: Simplify right side
    488,686x = 473,582,077,929
  5. Step 5: Solve for x
    x = 473,582,077,929/488,686
  6. Step 6: Final answer
    x = 969,092.79

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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.