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Finding the Third Proportional to 393,118 and 842,329

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Solution

The third proportional to 393,118 and 842,329 is: 1,804,847.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,118 : 842,329 = 842,329 : x
  2. Step 2: Convert to fraction form
    393,118/842,329 = 842,329/x
  3. Step 3: Cross multiply
    393,118x = 842,329 × 842,329
  4. Step 4: Simplify right side
    393,118x = 709,518,144,241
  5. Step 5: Solve for x
    x = 709,518,144,241/393,118
  6. Step 6: Final answer
    x = 1,804,847.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.