Home / 385.03-824.06

Finding the Third Proportional to 385.03 and 824.06

Calculator

Solution

The third proportional to 385.03 and 824.06 is: 1,763.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.03 : 824.06 = 824.06 : x
  2. Step 2: Convert to fraction form
    385.03/824.06 = 824.06/x
  3. Step 3: Cross multiply
    385.03x = 824.06 × 824.06
  4. Step 4: Simplify right side
    385.03x = 679,079.00
  5. Step 5: Solve for x
    x = 679,079.00/385.03
  6. Step 6: Final answer
    x = 1,763.70

Related Problems

Find third proportional to 192.52 and 412.03
Half scale
Find third proportional to 770.06 and 1,648.13
Double scale
Find third proportional to 387 and 828
Similar ratio
Find third proportional to 577.55 and 1,236.09
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.