Home / 214,236-507,564

Finding the Third Proportional to 214,236 and 507,564

Calculator

Solution

The third proportional to 214,236 and 507,564 is: 1,202,511.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,236 : 507,564 = 507,564 : x
  2. Step 2: Convert to fraction form
    214,236/507,564 = 507,564/x
  3. Step 3: Cross multiply
    214,236x = 507,564 × 507,564
  4. Step 4: Simplify right side
    214,236x = 257,621,214,096
  5. Step 5: Solve for x
    x = 257,621,214,096/214,236
  6. Step 6: Final answer
    x = 1,202,511.32

Related Problems

Find third proportional to 107,118 and 253,782
Half scale
Find third proportional to 428,472 and 1,015,128
Double scale
Find third proportional to 214,238 and 507,569
Similar ratio
Find third proportional to 321,354 and 761,346
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.