Home / 563-631

Finding the Third Proportional to 563 and 631

Calculator

Solution

The third proportional to 563 and 631 is: 707.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    563 : 631 = 631 : x
  2. Step 2: Convert to fraction form
    563/631 = 631/x
  3. Step 3: Cross multiply
    563x = 631 × 631
  4. Step 4: Simplify right side
    563x = 398,161
  5. Step 5: Solve for x
    x = 398,161/563
  6. Step 6: Final answer
    x = 707.21

Related Problems

Find third proportional to 281.50 and 315.50
Half scale
Find third proportional to 1,126 and 1,262
Double scale
Find third proportional to 565 and 633
Similar ratio
Find third proportional to 844.50 and 946.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.