Home / 526-588

Finding the Third Proportional to 526 and 588

Calculator

Solution

The third proportional to 526 and 588 is: 657.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    526 : 588 = 588 : x
  2. Step 2: Convert to fraction form
    526/588 = 588/x
  3. Step 3: Cross multiply
    526x = 588 × 588
  4. Step 4: Simplify right side
    526x = 345,744
  5. Step 5: Solve for x
    x = 345,744/526
  6. Step 6: Final answer
    x = 657.31

Related Problems

Find third proportional to 263 and 294
Half scale
Find third proportional to 1,052 and 1,176
Double scale
Find third proportional to 528 and 590
Similar ratio
Find third proportional to 789 and 882
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.