Home / 282,205-437,149

Finding the Third Proportional to 282,205 and 437,149

Calculator

Solution

The third proportional to 282,205 and 437,149 is: 677,164.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,205 : 437,149 = 437,149 : x
  2. Step 2: Convert to fraction form
    282,205/437,149 = 437,149/x
  3. Step 3: Cross multiply
    282,205x = 437,149 × 437,149
  4. Step 4: Simplify right side
    282,205x = 191,099,248,201
  5. Step 5: Solve for x
    x = 191,099,248,201/282,205
  6. Step 6: Final answer
    x = 677,164.64

Related Problems

Find third proportional to 141,102.50 and 218,574.50
Half scale
Find third proportional to 564,410 and 874,298
Double scale
Find third proportional to 282,207 and 437,152
Similar ratio
Find third proportional to 423,307.50 and 655,723.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.