Home / 210,219-315,021

Finding the Third Proportional to 210,219 and 315,021

Calculator

Solution

The third proportional to 210,219 and 315,021 is: 472,070.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,219 : 315,021 = 315,021 : x
  2. Step 2: Convert to fraction form
    210,219/315,021 = 315,021/x
  3. Step 3: Cross multiply
    210,219x = 315,021 × 315,021
  4. Step 4: Simplify right side
    210,219x = 99,238,230,441
  5. Step 5: Solve for x
    x = 99,238,230,441/210,219
  6. Step 6: Final answer
    x = 472,070.70

Related Problems

Find third proportional to 105,109.50 and 157,510.50
Half scale
Find third proportional to 420,438 and 630,042
Double scale
Find third proportional to 210,221 and 315,024
Similar ratio
Find third proportional to 315,328.50 and 472,531.50
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.