Home / 564-1,300

Finding the Third Proportional to 564 and 1,300

Calculator

Solution

The third proportional to 564 and 1,300 is: 2,996.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    564 : 1,300 = 1,300 : x
  2. Step 2: Convert to fraction form
    564/1,300 = 1,300/x
  3. Step 3: Cross multiply
    564x = 1,300 × 1,300
  4. Step 4: Simplify right side
    564x = 1,690,000
  5. Step 5: Solve for x
    x = 1,690,000/564
  6. Step 6: Final answer
    x = 2,996.45

Related Problems

Find third proportional to 282 and 650
Half scale
Find third proportional to 1,128 and 2,600
Double scale
Find third proportional to 566 and 1,305
Similar ratio
Find third proportional to 846 and 1,950
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.