Home / 69,306-104,586

Finding the Third Proportional to 69,306 and 104,586

Calculator

Solution

The third proportional to 69,306 and 104,586 is: 157,825.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,306 : 104,586 = 104,586 : x
  2. Step 2: Convert to fraction form
    69,306/104,586 = 104,586/x
  3. Step 3: Cross multiply
    69,306x = 104,586 × 104,586
  4. Step 4: Simplify right side
    69,306x = 10,938,231,396
  5. Step 5: Solve for x
    x = 10,938,231,396/69,306
  6. Step 6: Final answer
    x = 157,825.17

Related Problems

Find third proportional to 34,653 and 52,293
Half scale
Find third proportional to 138,612 and 209,172
Double scale
Find third proportional to 69,308 and 104,589
Similar ratio
Find third proportional to 103,959 and 156,879
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.