Home / 141-342

Finding the Third Proportional to 141 and 342

Calculator

Solution

The third proportional to 141 and 342 is: 829.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    141 : 342 = 342 : x
  2. Step 2: Convert to fraction form
    141/342 = 342/x
  3. Step 3: Cross multiply
    141x = 342 × 342
  4. Step 4: Simplify right side
    141x = 116,964
  5. Step 5: Solve for x
    x = 116,964/141
  6. Step 6: Final answer
    x = 829.53

Related Problems

Find third proportional to 70.50 and 171
Half scale
Find third proportional to 282 and 684
Double scale
Find third proportional to 143 and 347
Similar ratio
Find third proportional to 211.50 and 513
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.