Home / 77,691-119,970

Finding the Third Proportional to 77,691 and 119,970

Calculator

Solution

The third proportional to 77,691 and 119,970 is: 185,256.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,691 : 119,970 = 119,970 : x
  2. Step 2: Convert to fraction form
    77,691/119,970 = 119,970/x
  3. Step 3: Cross multiply
    77,691x = 119,970 × 119,970
  4. Step 4: Simplify right side
    77,691x = 14,392,800,900
  5. Step 5: Solve for x
    x = 14,392,800,900/77,691
  6. Step 6: Final answer
    x = 185,256.99

Related Problems

Find third proportional to 38,845.50 and 59,985
Half scale
Find third proportional to 155,382 and 239,940
Double scale
Find third proportional to 77,693 and 119,973
Similar ratio
Find third proportional to 116,536.50 and 179,955
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.