Home / 213,964-299,120

Finding the Third Proportional to 213,964 and 299,120

Calculator

Solution

The third proportional to 213,964 and 299,120 is: 418,167.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,964 : 299,120 = 299,120 : x
  2. Step 2: Convert to fraction form
    213,964/299,120 = 299,120/x
  3. Step 3: Cross multiply
    213,964x = 299,120 × 299,120
  4. Step 4: Simplify right side
    213,964x = 89,472,774,400
  5. Step 5: Solve for x
    x = 89,472,774,400/213,964
  6. Step 6: Final answer
    x = 418,167.42

Related Problems

Find third proportional to 106,982 and 149,560
Half scale
Find third proportional to 427,928 and 598,240
Double scale
Find third proportional to 213,966 and 299,123
Similar ratio
Find third proportional to 320,946 and 448,680
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.