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Finding the Third Proportional to 384,395.15 and 842,832.21

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Solution

The third proportional to 384,395.15 and 842,832.21 is: 1,848,010.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,395.15 : 842,832.21 = 842,832.21 : x
  2. Step 2: Convert to fraction form
    384,395.15/842,832.21 = 842,832.21/x
  3. Step 3: Cross multiply
    384,395.15x = 842,832.21 × 842,832.21
  4. Step 4: Simplify right side
    384,395.15x = 710,366,135,793.79
  5. Step 5: Solve for x
    x = 710,366,135,793.79/384,395.15
  6. Step 6: Final answer
    x = 1,848,010.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.