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Finding the Third Proportional to 342,818 and 738,318

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Solution

The third proportional to 342,818 and 738,318 is: 1,590,095.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,818 : 738,318 = 738,318 : x
  2. Step 2: Convert to fraction form
    342,818/738,318 = 738,318/x
  3. Step 3: Cross multiply
    342,818x = 738,318 × 738,318
  4. Step 4: Simplify right side
    342,818x = 545,113,469,124
  5. Step 5: Solve for x
    x = 545,113,469,124/342,818
  6. Step 6: Final answer
    x = 1,590,095.82

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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.