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Finding the Third Proportional to 489,252 and 688,974

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Solution

The third proportional to 489,252 and 688,974 is: 970,226.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,252 : 688,974 = 688,974 : x
  2. Step 2: Convert to fraction form
    489,252/688,974 = 688,974/x
  3. Step 3: Cross multiply
    489,252x = 688,974 × 688,974
  4. Step 4: Simplify right side
    489,252x = 474,685,172,676
  5. Step 5: Solve for x
    x = 474,685,172,676/489,252
  6. Step 6: Final answer
    x = 970,226.33

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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.