Home / 559-814

Finding the Third Proportional to 559 and 814

Calculator

Solution

The third proportional to 559 and 814 is: 1,185.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    559 : 814 = 814 : x
  2. Step 2: Convert to fraction form
    559/814 = 814/x
  3. Step 3: Cross multiply
    559x = 814 × 814
  4. Step 4: Simplify right side
    559x = 662,596
  5. Step 5: Solve for x
    x = 662,596/559
  6. Step 6: Final answer
    x = 1,185.32

Related Problems

Find third proportional to 279.50 and 407
Half scale
Find third proportional to 1,118 and 1,628
Double scale
Find third proportional to 561 and 817
Similar ratio
Find third proportional to 838.50 and 1,221
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.