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Finding the Third Proportional to 142,340 and 306,672

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Solution

The third proportional to 142,340 and 306,672 is: 660,725.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,340 : 306,672 = 306,672 : x
  2. Step 2: Convert to fraction form
    142,340/306,672 = 306,672/x
  3. Step 3: Cross multiply
    142,340x = 306,672 × 306,672
  4. Step 4: Simplify right side
    142,340x = 94,047,715,584
  5. Step 5: Solve for x
    x = 94,047,715,584/142,340
  6. Step 6: Final answer
    x = 660,725.84

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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.