Home / 210,141-314,469

Finding the Third Proportional to 210,141 and 314,469

Calculator

Solution

The third proportional to 210,141 and 314,469 is: 470,592.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,141 : 314,469 = 314,469 : x
  2. Step 2: Convert to fraction form
    210,141/314,469 = 314,469/x
  3. Step 3: Cross multiply
    210,141x = 314,469 × 314,469
  4. Step 4: Simplify right side
    210,141x = 98,890,751,961
  5. Step 5: Solve for x
    x = 98,890,751,961/210,141
  6. Step 6: Final answer
    x = 470,592.37

Related Problems

Find third proportional to 105,070.50 and 157,234.50
Half scale
Find third proportional to 420,282 and 628,938
Double scale
Find third proportional to 210,143 and 314,472
Similar ratio
Find third proportional to 315,211.50 and 471,703.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.