Home / 106,428-229,465.50

Finding the Third Proportional to 106,428 and 229,465.50

Calculator

Solution

The third proportional to 106,428 and 229,465.50 is: 494,742.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,428 : 229,465.50 = 229,465.50 : x
  2. Step 2: Convert to fraction form
    106,428/229,465.50 = 229,465.50/x
  3. Step 3: Cross multiply
    106,428x = 229,465.50 × 229,465.50
  4. Step 4: Simplify right side
    106,428x = 52,654,415,690.25
  5. Step 5: Solve for x
    x = 52,654,415,690.25/106,428
  6. Step 6: Final answer
    x = 494,742.13

Related Problems

Find third proportional to 53,214 and 114,732.75
Half scale
Find third proportional to 212,856 and 458,931
Double scale
Find third proportional to 106,430 and 229,470
Similar ratio
Find third proportional to 159,642 and 344,198.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.