Home / 567-643

Finding the Third Proportional to 567 and 643

Calculator

Solution

The third proportional to 567 and 643 is: 729.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    567 : 643 = 643 : x
  2. Step 2: Convert to fraction form
    567/643 = 643/x
  3. Step 3: Cross multiply
    567x = 643 × 643
  4. Step 4: Simplify right side
    567x = 413,449
  5. Step 5: Solve for x
    x = 413,449/567
  6. Step 6: Final answer
    x = 729.19

Related Problems

Find third proportional to 283.50 and 321.50
Half scale
Find third proportional to 1,134 and 1,286
Double scale
Find third proportional to 569 and 645
Similar ratio
Find third proportional to 850.50 and 964.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.