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Finding the Third Proportional to 488,694 and 688,176

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Solution

The third proportional to 488,694 and 688,176 is: 969,085.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,694 : 688,176 = 688,176 : x
  2. Step 2: Convert to fraction form
    488,694/688,176 = 688,176/x
  3. Step 3: Cross multiply
    488,694x = 688,176 × 688,176
  4. Step 4: Simplify right side
    488,694x = 473,586,206,976
  5. Step 5: Solve for x
    x = 473,586,206,976/488,694
  6. Step 6: Final answer
    x = 969,085.37

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.