Home / 524-1,214

Finding the Third Proportional to 524 and 1,214

Calculator

Solution

The third proportional to 524 and 1,214 is: 2,812.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    524 : 1,214 = 1,214 : x
  2. Step 2: Convert to fraction form
    524/1,214 = 1,214/x
  3. Step 3: Cross multiply
    524x = 1,214 × 1,214
  4. Step 4: Simplify right side
    524x = 1,473,796
  5. Step 5: Solve for x
    x = 1,473,796/524
  6. Step 6: Final answer
    x = 2,812.59

Related Problems

Find third proportional to 262 and 607
Half scale
Find third proportional to 1,048 and 2,428
Double scale
Find third proportional to 526 and 1,219
Similar ratio
Find third proportional to 786 and 1,821
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.