Home / 142.19-297.19

Finding the Third Proportional to 142.19 and 297.19

Calculator

Solution

The third proportional to 142.19 and 297.19 is: 621.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.19 : 297.19 = 297.19 : x
  2. Step 2: Convert to fraction form
    142.19/297.19 = 297.19/x
  3. Step 3: Cross multiply
    142.19x = 297.19 × 297.19
  4. Step 4: Simplify right side
    142.19x = 88,320.41
  5. Step 5: Solve for x
    x = 88,320.41/142.19
  6. Step 6: Final answer
    x = 621.15

Related Problems

Find third proportional to 71.09 and 148.59
Half scale
Find third proportional to 284.38 and 594.38
Double scale
Find third proportional to 144 and 301
Similar ratio
Find third proportional to 213.28 and 445.78
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.