Home / 109,452-178,704

Finding the Third Proportional to 109,452 and 178,704

Calculator

Solution

The third proportional to 109,452 and 178,704 is: 291,772.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,452 : 178,704 = 178,704 : x
  2. Step 2: Convert to fraction form
    109,452/178,704 = 178,704/x
  3. Step 3: Cross multiply
    109,452x = 178,704 × 178,704
  4. Step 4: Simplify right side
    109,452x = 31,935,119,616
  5. Step 5: Solve for x
    x = 31,935,119,616/109,452
  6. Step 6: Final answer
    x = 291,772.83

Related Problems

Find third proportional to 54,726 and 89,352
Half scale
Find third proportional to 218,904 and 357,408
Double scale
Find third proportional to 109,454 and 178,707
Similar ratio
Find third proportional to 164,178 and 268,056
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.