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Finding the Third Proportional to 384,379.17 and 816,058.55

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Solution

The third proportional to 384,379.17 and 816,058.55 is: 1,732,538.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,379.17 : 816,058.55 = 816,058.55 : x
  2. Step 2: Convert to fraction form
    384,379.17/816,058.55 = 816,058.55/x
  3. Step 3: Cross multiply
    384,379.17x = 816,058.55 × 816,058.55
  4. Step 4: Simplify right side
    384,379.17x = 665,951,551,927.74
  5. Step 5: Solve for x
    x = 665,951,551,927.74/384,379.17
  6. Step 6: Final answer
    x = 1,732,538.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.