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Finding the Third Proportional to 578,814 and 890,091

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Solution

The third proportional to 578,814 and 890,091 is: 1,368,767.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,814 : 890,091 = 890,091 : x
  2. Step 2: Convert to fraction form
    578,814/890,091 = 890,091/x
  3. Step 3: Cross multiply
    578,814x = 890,091 × 890,091
  4. Step 4: Simplify right side
    578,814x = 792,261,988,281
  5. Step 5: Solve for x
    x = 792,261,988,281/578,814
  6. Step 6: Final answer
    x = 1,368,767.84

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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.