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Finding the Third Proportional to 343,734 and 738,258

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Solution

The third proportional to 343,734 and 738,258 is: 1,585,600.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,734 : 738,258 = 738,258 : x
  2. Step 2: Convert to fraction form
    343,734/738,258 = 738,258/x
  3. Step 3: Cross multiply
    343,734x = 738,258 × 738,258
  4. Step 4: Simplify right side
    343,734x = 545,024,874,564
  5. Step 5: Solve for x
    x = 545,024,874,564/343,734
  6. Step 6: Final answer
    x = 1,585,600.71

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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.