Home / 302.81-692.06

Finding the Third Proportional to 302.81 and 692.06

Calculator

Solution

The third proportional to 302.81 and 692.06 is: 1,581.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.81 : 692.06 = 692.06 : x
  2. Step 2: Convert to fraction form
    302.81/692.06 = 692.06/x
  3. Step 3: Cross multiply
    302.81x = 692.06 × 692.06
  4. Step 4: Simplify right side
    302.81x = 478,950.50
  5. Step 5: Solve for x
    x = 478,950.50/302.81
  6. Step 6: Final answer
    x = 1,581.67

Related Problems

Find third proportional to 151.41 and 346.03
Half scale
Find third proportional to 605.63 and 1,384.13
Double scale
Find third proportional to 305 and 697
Similar ratio
Find third proportional to 454.22 and 1,038.09
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.