Home / 570-814

Finding the Third Proportional to 570 and 814

Calculator

Solution

The third proportional to 570 and 814 is: 1,162.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    570 : 814 = 814 : x
  2. Step 2: Convert to fraction form
    570/814 = 814/x
  3. Step 3: Cross multiply
    570x = 814 × 814
  4. Step 4: Simplify right side
    570x = 662,596
  5. Step 5: Solve for x
    x = 662,596/570
  6. Step 6: Final answer
    x = 1,162.45

Related Problems

Find third proportional to 285 and 407
Half scale
Find third proportional to 1,140 and 1,628
Double scale
Find third proportional to 572 and 817
Similar ratio
Find third proportional to 855 and 1,221
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.