Home / 270.19-583.31

Finding the Third Proportional to 270.19 and 583.31

Calculator

Solution

The third proportional to 270.19 and 583.31 is: 1,259.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.19 : 583.31 = 583.31 : x
  2. Step 2: Convert to fraction form
    270.19/583.31 = 583.31/x
  3. Step 3: Cross multiply
    270.19x = 583.31 × 583.31
  4. Step 4: Simplify right side
    270.19x = 340,253.47
  5. Step 5: Solve for x
    x = 340,253.47/270.19
  6. Step 6: Final answer
    x = 1,259.32

Related Problems

Find third proportional to 135.09 and 291.66
Half scale
Find third proportional to 540.38 and 1,166.63
Double scale
Find third proportional to 272 and 588
Similar ratio
Find third proportional to 405.28 and 874.97
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.