Home / 588-810

Finding the Third Proportional to 588 and 810

Calculator

Solution

The third proportional to 588 and 810 is: 1,115.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    588 : 810 = 810 : x
  2. Step 2: Convert to fraction form
    588/810 = 810/x
  3. Step 3: Cross multiply
    588x = 810 × 810
  4. Step 4: Simplify right side
    588x = 656,100
  5. Step 5: Solve for x
    x = 656,100/588
  6. Step 6: Final answer
    x = 1,115.82

Related Problems

Find third proportional to 294 and 405
Half scale
Find third proportional to 1,176 and 1,620
Double scale
Find third proportional to 590 and 813
Similar ratio
Find third proportional to 882 and 1,215
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.