Home / 214,431-315,409

Finding the Third Proportional to 214,431 and 315,409

Calculator

Solution

The third proportional to 214,431 and 315,409 is: 463,938.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,431 : 315,409 = 315,409 : x
  2. Step 2: Convert to fraction form
    214,431/315,409 = 315,409/x
  3. Step 3: Cross multiply
    214,431x = 315,409 × 315,409
  4. Step 4: Simplify right side
    214,431x = 99,482,837,281
  5. Step 5: Solve for x
    x = 99,482,837,281/214,431
  6. Step 6: Final answer
    x = 463,938.69

Related Problems

Find third proportional to 107,215.50 and 157,704.50
Half scale
Find third proportional to 428,862 and 630,818
Double scale
Find third proportional to 214,433 and 315,412
Similar ratio
Find third proportional to 321,646.50 and 473,113.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.