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Finding the Third Proportional to 149,798 and 318,064

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Solution

The third proportional to 149,798 and 318,064 is: 675,340.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,798 : 318,064 = 318,064 : x
  2. Step 2: Convert to fraction form
    149,798/318,064 = 318,064/x
  3. Step 3: Cross multiply
    149,798x = 318,064 × 318,064
  4. Step 4: Simplify right side
    149,798x = 101,164,708,096
  5. Step 5: Solve for x
    x = 101,164,708,096/149,798
  6. Step 6: Final answer
    x = 675,340.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.