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Finding the Third Proportional to 578,816 and 890,094

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Solution

The third proportional to 578,816 and 890,094 is: 1,368,772.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,816 : 890,094 = 890,094 : x
  2. Step 2: Convert to fraction form
    578,816/890,094 = 890,094/x
  3. Step 3: Cross multiply
    578,816x = 890,094 × 890,094
  4. Step 4: Simplify right side
    578,816x = 792,267,328,836
  5. Step 5: Solve for x
    x = 792,267,328,836/578,816
  6. Step 6: Final answer
    x = 1,368,772.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.