Home / 66,812-145,024

Finding the Third Proportional to 66,812 and 145,024

Calculator

Solution

The third proportional to 66,812 and 145,024 is: 314,793.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,812 : 145,024 = 145,024 : x
  2. Step 2: Convert to fraction form
    66,812/145,024 = 145,024/x
  3. Step 3: Cross multiply
    66,812x = 145,024 × 145,024
  4. Step 4: Simplify right side
    66,812x = 21,031,960,576
  5. Step 5: Solve for x
    x = 21,031,960,576/66,812
  6. Step 6: Final answer
    x = 314,793.16

Related Problems

Find third proportional to 33,406 and 72,512
Half scale
Find third proportional to 133,624 and 290,048
Double scale
Find third proportional to 66,814 and 145,028
Similar ratio
Find third proportional to 100,218 and 217,536
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.