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Finding the Third Proportional to 170,500 and 358,678

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Solution

The third proportional to 170,500 and 358,678 is: 754,544.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,500 : 358,678 = 358,678 : x
  2. Step 2: Convert to fraction form
    170,500/358,678 = 358,678/x
  3. Step 3: Cross multiply
    170,500x = 358,678 × 358,678
  4. Step 4: Simplify right side
    170,500x = 128,649,907,684
  5. Step 5: Solve for x
    x = 128,649,907,684/170,500
  6. Step 6: Final answer
    x = 754,544.91

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.