Home / 81,971-169,053

Finding the Third Proportional to 81,971 and 169,053

Calculator

Solution

The third proportional to 81,971 and 169,053 is: 348,646.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,971 : 169,053 = 169,053 : x
  2. Step 2: Convert to fraction form
    81,971/169,053 = 169,053/x
  3. Step 3: Cross multiply
    81,971x = 169,053 × 169,053
  4. Step 4: Simplify right side
    81,971x = 28,578,916,809
  5. Step 5: Solve for x
    x = 28,578,916,809/81,971
  6. Step 6: Final answer
    x = 348,646.68

Related Problems

Find third proportional to 40,985.50 and 84,526.50
Half scale
Find third proportional to 163,942 and 338,106
Double scale
Find third proportional to 81,973 and 169,057
Similar ratio
Find third proportional to 122,956.50 and 253,579.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.