Home / 197,199-431,715

Finding the Third Proportional to 197,199 and 431,715

Calculator

Solution

The third proportional to 197,199 and 431,715 is: 945,125.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,199 : 431,715 = 431,715 : x
  2. Step 2: Convert to fraction form
    197,199/431,715 = 431,715/x
  3. Step 3: Cross multiply
    197,199x = 431,715 × 431,715
  4. Step 4: Simplify right side
    197,199x = 186,377,841,225
  5. Step 5: Solve for x
    x = 186,377,841,225/197,199
  6. Step 6: Final answer
    x = 945,125.69

Related Problems

Find third proportional to 98,599.50 and 215,857.50
Half scale
Find third proportional to 394,398 and 863,430
Double scale
Find third proportional to 197,201 and 431,719
Similar ratio
Find third proportional to 295,798.50 and 647,572.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.