Home / 54,610-83,502

Finding the Third Proportional to 54,610 and 83,502

Calculator

Solution

The third proportional to 54,610 and 83,502 is: 127,679.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,610 : 83,502 = 83,502 : x
  2. Step 2: Convert to fraction form
    54,610/83,502 = 83,502/x
  3. Step 3: Cross multiply
    54,610x = 83,502 × 83,502
  4. Step 4: Simplify right side
    54,610x = 6,972,584,004
  5. Step 5: Solve for x
    x = 6,972,584,004/54,610
  6. Step 6: Final answer
    x = 127,679.62

Related Problems

Find third proportional to 27,305 and 41,751
Half scale
Find third proportional to 109,220 and 167,004
Double scale
Find third proportional to 54,612 and 83,505
Similar ratio
Find third proportional to 81,915 and 125,253
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.