Home / 31,428-47,142

Finding the Third Proportional to 31,428 and 47,142

Calculator

Solution

The third proportional to 31,428 and 47,142 is: 70,713

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,428 : 47,142 = 47,142 : x
  2. Step 2: Convert to fraction form
    31,428/47,142 = 47,142/x
  3. Step 3: Cross multiply
    31,428x = 47,142 × 47,142
  4. Step 4: Simplify right side
    31,428x = 2,222,368,164
  5. Step 5: Solve for x
    x = 2,222,368,164/31,428
  6. Step 6: Final answer
    x = 70,713

Related Problems

Find third proportional to 15,714 and 23,571
Half scale
Find third proportional to 62,856 and 94,284
Double scale
Find third proportional to 31,430 and 47,145
Similar ratio
Find third proportional to 47,142 and 70,713
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.