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Finding the Third Proportional to 384,521.63 and 828,208.13

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Solution

The third proportional to 384,521.63 and 828,208.13 is: 1,783,849.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,521.63 : 828,208.13 = 828,208.13 : x
  2. Step 2: Convert to fraction form
    384,521.63/828,208.13 = 828,208.13/x
  3. Step 3: Cross multiply
    384,521.63x = 828,208.13 × 828,208.13
  4. Step 4: Simplify right side
    384,521.63x = 685,928,698,316.02
  5. Step 5: Solve for x
    x = 685,928,698,316.02/384,521.63
  6. Step 6: Final answer
    x = 1,783,849.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.