Home / 81,850-121,470

Finding the Third Proportional to 81,850 and 121,470

Calculator

Solution

The third proportional to 81,850 and 121,470 is: 180,268.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,850 : 121,470 = 121,470 : x
  2. Step 2: Convert to fraction form
    81,850/121,470 = 121,470/x
  3. Step 3: Cross multiply
    81,850x = 121,470 × 121,470
  4. Step 4: Simplify right side
    81,850x = 14,754,960,900
  5. Step 5: Solve for x
    x = 14,754,960,900/81,850
  6. Step 6: Final answer
    x = 180,268.31

Related Problems

Find third proportional to 40,925 and 60,735
Half scale
Find third proportional to 163,700 and 242,940
Double scale
Find third proportional to 81,852 and 121,473
Similar ratio
Find third proportional to 122,775 and 182,205
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.