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Finding the Third Proportional to 46,852 and 65,910

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Solution

The third proportional to 46,852 and 65,910 is: 92,720.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,852 : 65,910 = 65,910 : x
  2. Step 2: Convert to fraction form
    46,852/65,910 = 65,910/x
  3. Step 3: Cross multiply
    46,852x = 65,910 × 65,910
  4. Step 4: Simplify right side
    46,852x = 4,344,128,100
  5. Step 5: Solve for x
    x = 4,344,128,100/46,852
  6. Step 6: Final answer
    x = 92,720.23

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.