Home / 384,214-827,612

Finding the Third Proportional to 384,214 and 827,612

Calculator

Solution

The third proportional to 384,214 and 827,612 is: 1,782,708.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,214 : 827,612 = 827,612 : x
  2. Step 2: Convert to fraction form
    384,214/827,612 = 827,612/x
  3. Step 3: Cross multiply
    384,214x = 827,612 × 827,612
  4. Step 4: Simplify right side
    384,214x = 684,941,622,544
  5. Step 5: Solve for x
    x = 684,941,622,544/384,214
  6. Step 6: Final answer
    x = 1,782,708.65

Related Problems

Find third proportional to 192,107 and 413,806
Half scale
Find third proportional to 768,428 and 1,655,224
Double scale
Find third proportional to 384,216 and 827,616
Similar ratio
Find third proportional to 576,321 and 1,241,418
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.