Home / 424,470-642,171

Finding the Third Proportional to 424,470 and 642,171

Calculator

Solution

The third proportional to 424,470 and 642,171 is: 971,525.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,470 : 642,171 = 642,171 : x
  2. Step 2: Convert to fraction form
    424,470/642,171 = 642,171/x
  3. Step 3: Cross multiply
    424,470x = 642,171 × 642,171
  4. Step 4: Simplify right side
    424,470x = 412,383,593,241
  5. Step 5: Solve for x
    x = 412,383,593,241/424,470
  6. Step 6: Final answer
    x = 971,525.89

Related Problems

Find third proportional to 212,235 and 321,085.50
Half scale
Find third proportional to 848,940 and 1,284,342
Double scale
Find third proportional to 424,472 and 642,174
Similar ratio
Find third proportional to 636,705 and 963,256.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.