Home / 156,971-224,178

Finding the Third Proportional to 156,971 and 224,178

Calculator

Solution

The third proportional to 156,971 and 224,178 is: 320,159.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,971 : 224,178 = 224,178 : x
  2. Step 2: Convert to fraction form
    156,971/224,178 = 224,178/x
  3. Step 3: Cross multiply
    156,971x = 224,178 × 224,178
  4. Step 4: Simplify right side
    156,971x = 50,255,775,684
  5. Step 5: Solve for x
    x = 50,255,775,684/156,971
  6. Step 6: Final answer
    x = 320,159.62

Related Problems

Find third proportional to 78,485.50 and 112,089
Half scale
Find third proportional to 313,942 and 448,356
Double scale
Find third proportional to 156,973 and 224,181
Similar ratio
Find third proportional to 235,456.50 and 336,267
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.