Home / 537-588

Finding the Third Proportional to 537 and 588

Calculator

Solution

The third proportional to 537 and 588 is: 643.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    537 : 588 = 588 : x
  2. Step 2: Convert to fraction form
    537/588 = 588/x
  3. Step 3: Cross multiply
    537x = 588 × 588
  4. Step 4: Simplify right side
    537x = 345,744
  5. Step 5: Solve for x
    x = 345,744/537
  6. Step 6: Final answer
    x = 643.84

Related Problems

Find third proportional to 268.50 and 294
Half scale
Find third proportional to 1,074 and 1,176
Double scale
Find third proportional to 539 and 590
Similar ratio
Find third proportional to 805.50 and 882
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.