Home / 271.50-420.38

Finding the Third Proportional to 271.50 and 420.38

Calculator

Solution

The third proportional to 271.50 and 420.38 is: 650.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.50 : 420.38 = 420.38 : x
  2. Step 2: Convert to fraction form
    271.50/420.38 = 420.38/x
  3. Step 3: Cross multiply
    271.50x = 420.38 × 420.38
  4. Step 4: Simplify right side
    271.50x = 176,715.14
  5. Step 5: Solve for x
    x = 176,715.14/271.50
  6. Step 6: Final answer
    x = 650.88

Related Problems

Find third proportional to 135.75 and 210.19
Half scale
Find third proportional to 543 and 840.75
Double scale
Find third proportional to 274 and 423
Similar ratio
Find third proportional to 407.25 and 630.56
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.