Home / 565.13-702

Finding the Third Proportional to 565.13 and 702

Calculator

Solution

The third proportional to 565.13 and 702 is: 872.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.13 : 702 = 702 : x
  2. Step 2: Convert to fraction form
    565.13/702 = 702/x
  3. Step 3: Cross multiply
    565.13x = 702 × 702
  4. Step 4: Simplify right side
    565.13x = 492,804
  5. Step 5: Solve for x
    x = 492,804/565.13
  6. Step 6: Final answer
    x = 872.03

Related Problems

Find third proportional to 282.56 and 351
Half scale
Find third proportional to 1,130.25 and 1,404
Double scale
Find third proportional to 567 and 704
Similar ratio
Find third proportional to 847.69 and 1,053
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.