Home / 147,054-311,440

Finding the Third Proportional to 147,054 and 311,440

Calculator

Solution

The third proportional to 147,054 and 311,440 is: 659,586.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,054 : 311,440 = 311,440 : x
  2. Step 2: Convert to fraction form
    147,054/311,440 = 311,440/x
  3. Step 3: Cross multiply
    147,054x = 311,440 × 311,440
  4. Step 4: Simplify right side
    147,054x = 96,994,873,600
  5. Step 5: Solve for x
    x = 96,994,873,600/147,054
  6. Step 6: Final answer
    x = 659,586.77

Related Problems

Find third proportional to 73,527 and 155,720
Half scale
Find third proportional to 294,108 and 622,880
Double scale
Find third proportional to 147,056 and 311,444
Similar ratio
Find third proportional to 220,581 and 467,160
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.