Home / 199,820-427,981

Finding the Third Proportional to 199,820 and 427,981

Calculator

Solution

The third proportional to 199,820 and 427,981 is: 916,663.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,820 : 427,981 = 427,981 : x
  2. Step 2: Convert to fraction form
    199,820/427,981 = 427,981/x
  3. Step 3: Cross multiply
    199,820x = 427,981 × 427,981
  4. Step 4: Simplify right side
    199,820x = 183,167,736,361
  5. Step 5: Solve for x
    x = 183,167,736,361/199,820
  6. Step 6: Final answer
    x = 916,663.68

Related Problems

Find third proportional to 99,910 and 213,990.50
Half scale
Find third proportional to 399,640 and 855,962
Double scale
Find third proportional to 199,822 and 427,985
Similar ratio
Find third proportional to 299,730 and 641,971.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.