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Finding the Third Proportional to 355,119 and 762,942

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Solution

The third proportional to 355,119 and 762,942 is: 1,639,113.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,119 : 762,942 = 762,942 : x
  2. Step 2: Convert to fraction form
    355,119/762,942 = 762,942/x
  3. Step 3: Cross multiply
    355,119x = 762,942 × 762,942
  4. Step 4: Simplify right side
    355,119x = 582,080,495,364
  5. Step 5: Solve for x
    x = 582,080,495,364/355,119
  6. Step 6: Final answer
    x = 1,639,113.92

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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.