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Finding the Third Proportional to 489,268 and 688,994

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Solution

The third proportional to 489,268 and 688,994 is: 970,250.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,268 : 688,994 = 688,994 : x
  2. Step 2: Convert to fraction form
    489,268/688,994 = 688,994/x
  3. Step 3: Cross multiply
    489,268x = 688,994 × 688,994
  4. Step 4: Simplify right side
    489,268x = 474,712,732,036
  5. Step 5: Solve for x
    x = 474,712,732,036/489,268
  6. Step 6: Final answer
    x = 970,250.93

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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.