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Finding the Third Proportional to 386,871 and 850,321

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Solution

The third proportional to 386,871 and 850,321 is: 1,868,958.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,871 : 850,321 = 850,321 : x
  2. Step 2: Convert to fraction form
    386,871/850,321 = 850,321/x
  3. Step 3: Cross multiply
    386,871x = 850,321 × 850,321
  4. Step 4: Simplify right side
    386,871x = 723,045,803,041
  5. Step 5: Solve for x
    x = 723,045,803,041/386,871
  6. Step 6: Final answer
    x = 1,868,958.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.