Home / 411,543-546,210

Finding the Third Proportional to 411,543 and 546,210

Calculator

Solution

The third proportional to 411,543 and 546,210 is: 724,943.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,543 : 546,210 = 546,210 : x
  2. Step 2: Convert to fraction form
    411,543/546,210 = 546,210/x
  3. Step 3: Cross multiply
    411,543x = 546,210 × 546,210
  4. Step 4: Simplify right side
    411,543x = 298,345,364,100
  5. Step 5: Solve for x
    x = 298,345,364,100/411,543
  6. Step 6: Final answer
    x = 724,943.36

Related Problems

Find third proportional to 205,771.50 and 273,105
Half scale
Find third proportional to 823,086 and 1,092,420
Double scale
Find third proportional to 411,545 and 546,213
Similar ratio
Find third proportional to 617,314.50 and 819,315
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.