Home / 271,415-421,785

Finding the Third Proportional to 271,415 and 421,785

Calculator

Solution

The third proportional to 271,415 and 421,785 is: 655,463.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,415 : 421,785 = 421,785 : x
  2. Step 2: Convert to fraction form
    271,415/421,785 = 421,785/x
  3. Step 3: Cross multiply
    271,415x = 421,785 × 421,785
  4. Step 4: Simplify right side
    271,415x = 177,902,586,225
  5. Step 5: Solve for x
    x = 177,902,586,225/271,415
  6. Step 6: Final answer
    x = 655,463.35

Related Problems

Find third proportional to 135,707.50 and 210,892.50
Half scale
Find third proportional to 542,830 and 843,570
Double scale
Find third proportional to 271,417 and 421,788
Similar ratio
Find third proportional to 407,122.50 and 632,677.50
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.