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Finding the Third Proportional to 142,168 and 306,367

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Solution

The third proportional to 142,168 and 306,367 is: 660,210.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,168 : 306,367 = 306,367 : x
  2. Step 2: Convert to fraction form
    142,168/306,367 = 306,367/x
  3. Step 3: Cross multiply
    142,168x = 306,367 × 306,367
  4. Step 4: Simplify right side
    142,168x = 93,860,738,689
  5. Step 5: Solve for x
    x = 93,860,738,689/142,168
  6. Step 6: Final answer
    x = 660,210.02

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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.