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Finding the Third Proportional to 170,115 and 397,339.50

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Solution

The third proportional to 170,115 and 397,339.50 is: 928,070.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,115 : 397,339.50 = 397,339.50 : x
  2. Step 2: Convert to fraction form
    170,115/397,339.50 = 397,339.50/x
  3. Step 3: Cross multiply
    170,115x = 397,339.50 × 397,339.50
  4. Step 4: Simplify right side
    170,115x = 157,878,678,260.25
  5. Step 5: Solve for x
    x = 157,878,678,260.25/170,115
  6. Step 6: Final answer
    x = 928,070.30

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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.