Home / 514,140-821,025

Finding the Third Proportional to 514,140 and 821,025

Calculator

Solution

The third proportional to 514,140 and 821,025 is: 1,311,086.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,140 : 821,025 = 821,025 : x
  2. Step 2: Convert to fraction form
    514,140/821,025 = 821,025/x
  3. Step 3: Cross multiply
    514,140x = 821,025 × 821,025
  4. Step 4: Simplify right side
    514,140x = 674,082,050,625
  5. Step 5: Solve for x
    x = 674,082,050,625/514,140
  6. Step 6: Final answer
    x = 1,311,086.57

Related Problems

Find third proportional to 257,070 and 410,512.50
Half scale
Find third proportional to 1,028,280 and 1,642,050
Double scale
Find third proportional to 514,142 and 821,028
Similar ratio
Find third proportional to 771,210 and 1,231,537.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.