Home / 406,982-598,295

Finding the Third Proportional to 406,982 and 598,295

Calculator

Solution

The third proportional to 406,982 and 598,295 is: 879,539.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,982 : 598,295 = 598,295 : x
  2. Step 2: Convert to fraction form
    406,982/598,295 = 598,295/x
  3. Step 3: Cross multiply
    406,982x = 598,295 × 598,295
  4. Step 4: Simplify right side
    406,982x = 357,956,907,025
  5. Step 5: Solve for x
    x = 357,956,907,025/406,982
  6. Step 6: Final answer
    x = 879,539.90

Related Problems

Find third proportional to 203,491 and 299,147.50
Half scale
Find third proportional to 813,964 and 1,196,590
Double scale
Find third proportional to 406,984 and 598,298
Similar ratio
Find third proportional to 610,473 and 897,442.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.