Home / 4,222-6,457

Finding the Third Proportional to 4,222 and 6,457

Calculator

Solution

The third proportional to 4,222 and 6,457 is: 9,875.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,222 : 6,457 = 6,457 : x
  2. Step 2: Convert to fraction form
    4,222/6,457 = 6,457/x
  3. Step 3: Cross multiply
    4,222x = 6,457 × 6,457
  4. Step 4: Simplify right side
    4,222x = 41,692,849
  5. Step 5: Solve for x
    x = 41,692,849/4,222
  6. Step 6: Final answer
    x = 9,875.14

Related Problems

Find third proportional to 2,111 and 3,228.50
Half scale
Find third proportional to 8,444 and 12,914
Double scale
Find third proportional to 4,224 and 6,460
Similar ratio
Find third proportional to 6,333 and 9,685.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.