Home / 42,662-66,409

Finding the Third Proportional to 42,662 and 66,409

Calculator

Solution

The third proportional to 42,662 and 66,409 is: 103,374.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,662 : 66,409 = 66,409 : x
  2. Step 2: Convert to fraction form
    42,662/66,409 = 66,409/x
  3. Step 3: Cross multiply
    42,662x = 66,409 × 66,409
  4. Step 4: Simplify right side
    42,662x = 4,410,155,281
  5. Step 5: Solve for x
    x = 4,410,155,281/42,662
  6. Step 6: Final answer
    x = 103,374.32

Related Problems

Find third proportional to 21,331 and 33,204.50
Half scale
Find third proportional to 85,324 and 132,818
Double scale
Find third proportional to 42,664 and 66,412
Similar ratio
Find third proportional to 63,993 and 99,613.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.