Home / 237,107-421,584

Finding the Third Proportional to 237,107 and 421,584

Calculator

Solution

The third proportional to 237,107 and 421,584 is: 749,590.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,107 : 421,584 = 421,584 : x
  2. Step 2: Convert to fraction form
    237,107/421,584 = 421,584/x
  3. Step 3: Cross multiply
    237,107x = 421,584 × 421,584
  4. Step 4: Simplify right side
    237,107x = 177,733,069,056
  5. Step 5: Solve for x
    x = 177,733,069,056/237,107
  6. Step 6: Final answer
    x = 749,590.14

Related Problems

Find third proportional to 118,553.50 and 210,792
Half scale
Find third proportional to 474,214 and 843,168
Double scale
Find third proportional to 237,109 and 421,588
Similar ratio
Find third proportional to 355,660.50 and 632,376
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.