Home / 51,869-82,340

Finding the Third Proportional to 51,869 and 82,340

Calculator

Solution

The third proportional to 51,869 and 82,340 is: 130,711.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,869 : 82,340 = 82,340 : x
  2. Step 2: Convert to fraction form
    51,869/82,340 = 82,340/x
  3. Step 3: Cross multiply
    51,869x = 82,340 × 82,340
  4. Step 4: Simplify right side
    51,869x = 6,779,875,600
  5. Step 5: Solve for x
    x = 6,779,875,600/51,869
  6. Step 6: Final answer
    x = 130,711.52

Related Problems

Find third proportional to 25,934.50 and 41,170
Half scale
Find third proportional to 103,738 and 164,680
Double scale
Find third proportional to 51,871 and 82,343
Similar ratio
Find third proportional to 77,803.50 and 123,510
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.