Home / 98,469-214,731

Finding the Third Proportional to 98,469 and 214,731

Calculator

Solution

The third proportional to 98,469 and 214,731 is: 468,263.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,469 : 214,731 = 214,731 : x
  2. Step 2: Convert to fraction form
    98,469/214,731 = 214,731/x
  3. Step 3: Cross multiply
    98,469x = 214,731 × 214,731
  4. Step 4: Simplify right side
    98,469x = 46,109,402,361
  5. Step 5: Solve for x
    x = 46,109,402,361/98,469
  6. Step 6: Final answer
    x = 468,263.13

Related Problems

Find third proportional to 49,234.50 and 107,365.50
Half scale
Find third proportional to 196,938 and 429,462
Double scale
Find third proportional to 98,471 and 214,735
Similar ratio
Find third proportional to 147,703.50 and 322,096.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.