Home / 45,144-97,822

Finding the Third Proportional to 45,144 and 97,822

Calculator

Solution

The third proportional to 45,144 and 97,822 is: 211,969.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,144 : 97,822 = 97,822 : x
  2. Step 2: Convert to fraction form
    45,144/97,822 = 97,822/x
  3. Step 3: Cross multiply
    45,144x = 97,822 × 97,822
  4. Step 4: Simplify right side
    45,144x = 9,569,143,684
  5. Step 5: Solve for x
    x = 9,569,143,684/45,144
  6. Step 6: Final answer
    x = 211,969.34

Related Problems

Find third proportional to 22,572 and 48,911
Half scale
Find third proportional to 90,288 and 195,644
Double scale
Find third proportional to 45,146 and 97,826
Similar ratio
Find third proportional to 67,716 and 146,733
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.