Home / 10,080-15,420

Finding the Third Proportional to 10,080 and 15,420

Calculator

Solution

The third proportional to 10,080 and 15,420 is: 23,588.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,080 : 15,420 = 15,420 : x
  2. Step 2: Convert to fraction form
    10,080/15,420 = 15,420/x
  3. Step 3: Cross multiply
    10,080x = 15,420 × 15,420
  4. Step 4: Simplify right side
    10,080x = 237,776,400
  5. Step 5: Solve for x
    x = 237,776,400/10,080
  6. Step 6: Final answer
    x = 23,588.93

Related Problems

Find third proportional to 5,040 and 7,710
Half scale
Find third proportional to 20,160 and 30,840
Double scale
Find third proportional to 10,082 and 15,423
Similar ratio
Find third proportional to 15,120 and 23,130
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.