Home / 53,462-83,170

Finding the Third Proportional to 53,462 and 83,170

Calculator

Solution

The third proportional to 53,462 and 83,170 is: 129,386.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,462 : 83,170 = 83,170 : x
  2. Step 2: Convert to fraction form
    53,462/83,170 = 83,170/x
  3. Step 3: Cross multiply
    53,462x = 83,170 × 83,170
  4. Step 4: Simplify right side
    53,462x = 6,917,248,900
  5. Step 5: Solve for x
    x = 6,917,248,900/53,462
  6. Step 6: Final answer
    x = 129,386.27

Related Problems

Find third proportional to 26,731 and 41,585
Half scale
Find third proportional to 106,924 and 166,340
Double scale
Find third proportional to 53,464 and 83,173
Similar ratio
Find third proportional to 80,193 and 124,755
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.