Home / 290.13-431.63

Finding the Third Proportional to 290.13 and 431.63

Calculator

Solution

The third proportional to 290.13 and 431.63 is: 642.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.13 : 431.63 = 431.63 : x
  2. Step 2: Convert to fraction form
    290.13/431.63 = 431.63/x
  3. Step 3: Cross multiply
    290.13x = 431.63 × 431.63
  4. Step 4: Simplify right side
    290.13x = 186,300.14
  5. Step 5: Solve for x
    x = 186,300.14/290.13
  6. Step 6: Final answer
    x = 642.14

Related Problems

Find third proportional to 145.06 and 215.81
Half scale
Find third proportional to 580.25 and 863.25
Double scale
Find third proportional to 292 and 435
Similar ratio
Find third proportional to 435.19 and 647.44
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.