Home / 82,384-176,432

Finding the Third Proportional to 82,384 and 176,432

Calculator

Solution

The third proportional to 82,384 and 176,432 is: 377,843.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,384 : 176,432 = 176,432 : x
  2. Step 2: Convert to fraction form
    82,384/176,432 = 176,432/x
  3. Step 3: Cross multiply
    82,384x = 176,432 × 176,432
  4. Step 4: Simplify right side
    82,384x = 31,128,250,624
  5. Step 5: Solve for x
    x = 31,128,250,624/82,384
  6. Step 6: Final answer
    x = 377,843.40

Related Problems

Find third proportional to 41,192 and 88,216
Half scale
Find third proportional to 164,768 and 352,864
Double scale
Find third proportional to 82,386 and 176,436
Similar ratio
Find third proportional to 123,576 and 264,648
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.