Home / 410,140-642,091

Finding the Third Proportional to 410,140 and 642,091

Calculator

Solution

The third proportional to 410,140 and 642,091 is: 1,005,219.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,140 : 642,091 = 642,091 : x
  2. Step 2: Convert to fraction form
    410,140/642,091 = 642,091/x
  3. Step 3: Cross multiply
    410,140x = 642,091 × 642,091
  4. Step 4: Simplify right side
    410,140x = 412,280,852,281
  5. Step 5: Solve for x
    x = 412,280,852,281/410,140
  6. Step 6: Final answer
    x = 1,005,219.81

Related Problems

Find third proportional to 205,070 and 321,045.50
Half scale
Find third proportional to 820,280 and 1,284,182
Double scale
Find third proportional to 410,142 and 642,094
Similar ratio
Find third proportional to 615,210 and 963,136.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.