Home / 564-659

Finding the Third Proportional to 564 and 659

Calculator

Solution

The third proportional to 564 and 659 is: 770.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    564 : 659 = 659 : x
  2. Step 2: Convert to fraction form
    564/659 = 659/x
  3. Step 3: Cross multiply
    564x = 659 × 659
  4. Step 4: Simplify right side
    564x = 434,281
  5. Step 5: Solve for x
    x = 434,281/564
  6. Step 6: Final answer
    x = 770.00

Related Problems

Find third proportional to 282 and 329.50
Half scale
Find third proportional to 1,128 and 1,318
Double scale
Find third proportional to 566 and 661
Similar ratio
Find third proportional to 846 and 988.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.