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Finding the Third Proportional to 386,688.94 and 830,513.25

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Solution

The third proportional to 386,688.94 and 830,513.25 is: 1,783,739.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,688.94 : 830,513.25 = 830,513.25 : x
  2. Step 2: Convert to fraction form
    386,688.94/830,513.25 = 830,513.25/x
  3. Step 3: Cross multiply
    386,688.94x = 830,513.25 × 830,513.25
  4. Step 4: Simplify right side
    386,688.94x = 689,752,258,425.56
  5. Step 5: Solve for x
    x = 689,752,258,425.56/386,688.94
  6. Step 6: Final answer
    x = 1,783,739.31

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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.