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Finding the Third Proportional to 351,360 and 685,056

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Solution

The third proportional to 351,360 and 685,056 is: 1,335,672.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,360 : 685,056 = 685,056 : x
  2. Step 2: Convert to fraction form
    351,360/685,056 = 685,056/x
  3. Step 3: Cross multiply
    351,360x = 685,056 × 685,056
  4. Step 4: Simplify right side
    351,360x = 469,301,723,136
  5. Step 5: Solve for x
    x = 469,301,723,136/351,360
  6. Step 6: Final answer
    x = 1,335,672.03

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.