Home / 109,356-178,566

Finding the Third Proportional to 109,356 and 178,566

Calculator

Solution

The third proportional to 109,356 and 178,566 is: 291,578.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,356 : 178,566 = 178,566 : x
  2. Step 2: Convert to fraction form
    109,356/178,566 = 178,566/x
  3. Step 3: Cross multiply
    109,356x = 178,566 × 178,566
  4. Step 4: Simplify right side
    109,356x = 31,885,816,356
  5. Step 5: Solve for x
    x = 31,885,816,356/109,356
  6. Step 6: Final answer
    x = 291,578.12

Related Problems

Find third proportional to 54,678 and 89,283
Half scale
Find third proportional to 218,712 and 357,132
Double scale
Find third proportional to 109,358 and 178,569
Similar ratio
Find third proportional to 164,034 and 267,849
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.