Home / 524.81-599.06

Finding the Third Proportional to 524.81 and 599.06

Calculator

Solution

The third proportional to 524.81 and 599.06 is: 683.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.81 : 599.06 = 599.06 : x
  2. Step 2: Convert to fraction form
    524.81/599.06 = 599.06/x
  3. Step 3: Cross multiply
    524.81x = 599.06 × 599.06
  4. Step 4: Simplify right side
    524.81x = 358,875.88
  5. Step 5: Solve for x
    x = 358,875.88/524.81
  6. Step 6: Final answer
    x = 683.82

Related Problems

Find third proportional to 262.41 and 299.53
Half scale
Find third proportional to 1,049.63 and 1,198.13
Double scale
Find third proportional to 527 and 601
Similar ratio
Find third proportional to 787.22 and 898.59
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.