Home / 4,142-9,749

Finding the Third Proportional to 4,142 and 9,749

Calculator

Solution

The third proportional to 4,142 and 9,749 is: 22,946.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142 : 9,749 = 9,749 : x
  2. Step 2: Convert to fraction form
    4,142/9,749 = 9,749/x
  3. Step 3: Cross multiply
    4,142x = 9,749 × 9,749
  4. Step 4: Simplify right side
    4,142x = 95,043,001
  5. Step 5: Solve for x
    x = 95,043,001/4,142
  6. Step 6: Final answer
    x = 22,946.16

Related Problems

Find third proportional to 2,071 and 4,874.50
Half scale
Find third proportional to 8,284 and 19,498
Double scale
Find third proportional to 4,144 and 9,754
Similar ratio
Find third proportional to 6,213 and 14,623.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.