Home / 10,489-15,591

Finding the Third Proportional to 10,489 and 15,591

Calculator

Solution

The third proportional to 10,489 and 15,591 is: 23,174.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489 : 15,591 = 15,591 : x
  2. Step 2: Convert to fraction form
    10,489/15,591 = 15,591/x
  3. Step 3: Cross multiply
    10,489x = 15,591 × 15,591
  4. Step 4: Simplify right side
    10,489x = 243,079,281
  5. Step 5: Solve for x
    x = 243,079,281/10,489
  6. Step 6: Final answer
    x = 23,174.69

Related Problems

Find third proportional to 5,244.50 and 7,795.50
Half scale
Find third proportional to 20,978 and 31,182
Double scale
Find third proportional to 10,491 and 15,594
Similar ratio
Find third proportional to 15,733.50 and 23,386.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.