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Finding the Third Proportional to 578,076 and 821,684

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Solution

The third proportional to 578,076 and 821,684 is: 1,167,951.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,076 : 821,684 = 821,684 : x
  2. Step 2: Convert to fraction form
    578,076/821,684 = 821,684/x
  3. Step 3: Cross multiply
    578,076x = 821,684 × 821,684
  4. Step 4: Simplify right side
    578,076x = 675,164,595,856
  5. Step 5: Solve for x
    x = 675,164,595,856/578,076
  6. Step 6: Final answer
    x = 1,167,951.27

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.