Home / 213,999-506,084

Finding the Third Proportional to 213,999 and 506,084

Calculator

Solution

The third proportional to 213,999 and 506,084 is: 1,196,832.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,999 : 506,084 = 506,084 : x
  2. Step 2: Convert to fraction form
    213,999/506,084 = 506,084/x
  3. Step 3: Cross multiply
    213,999x = 506,084 × 506,084
  4. Step 4: Simplify right side
    213,999x = 256,121,015,056
  5. Step 5: Solve for x
    x = 256,121,015,056/213,999
  6. Step 6: Final answer
    x = 1,196,832.77

Related Problems

Find third proportional to 106,999.50 and 253,042
Half scale
Find third proportional to 427,998 and 1,012,168
Double scale
Find third proportional to 214,001 and 506,089
Similar ratio
Find third proportional to 320,998.50 and 759,126
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.