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Finding the Third Proportional to 170,856 and 399,193.50

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Solution

The third proportional to 170,856 and 399,193.50 is: 932,688.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,856 : 399,193.50 = 399,193.50 : x
  2. Step 2: Convert to fraction form
    170,856/399,193.50 = 399,193.50/x
  3. Step 3: Cross multiply
    170,856x = 399,193.50 × 399,193.50
  4. Step 4: Simplify right side
    170,856x = 159,355,450,442.25
  5. Step 5: Solve for x
    x = 159,355,450,442.25/170,856
  6. Step 6: Final answer
    x = 932,688.64

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.