Home / 562-643

Finding the Third Proportional to 562 and 643

Calculator

Solution

The third proportional to 562 and 643 is: 735.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    562 : 643 = 643 : x
  2. Step 2: Convert to fraction form
    562/643 = 643/x
  3. Step 3: Cross multiply
    562x = 643 × 643
  4. Step 4: Simplify right side
    562x = 413,449
  5. Step 5: Solve for x
    x = 413,449/562
  6. Step 6: Final answer
    x = 735.67

Related Problems

Find third proportional to 281 and 321.50
Half scale
Find third proportional to 1,124 and 1,286
Double scale
Find third proportional to 564 and 645
Similar ratio
Find third proportional to 843 and 964.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.