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Finding the Third Proportional to 339,672 and 734,688

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Solution

The third proportional to 339,672 and 734,688 is: 1,589,081.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,672 : 734,688 = 734,688 : x
  2. Step 2: Convert to fraction form
    339,672/734,688 = 734,688/x
  3. Step 3: Cross multiply
    339,672x = 734,688 × 734,688
  4. Step 4: Simplify right side
    339,672x = 539,766,457,344
  5. Step 5: Solve for x
    x = 539,766,457,344/339,672
  6. Step 6: Final answer
    x = 1,589,081.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.