Home / 107,382-233,217

Finding the Third Proportional to 107,382 and 233,217

Calculator

Solution

The third proportional to 107,382 and 233,217 is: 506,511.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,382 : 233,217 = 233,217 : x
  2. Step 2: Convert to fraction form
    107,382/233,217 = 233,217/x
  3. Step 3: Cross multiply
    107,382x = 233,217 × 233,217
  4. Step 4: Simplify right side
    107,382x = 54,390,169,089
  5. Step 5: Solve for x
    x = 54,390,169,089/107,382
  6. Step 6: Final answer
    x = 506,511.05

Related Problems

Find third proportional to 53,691 and 116,608.50
Half scale
Find third proportional to 214,764 and 466,434
Double scale
Find third proportional to 107,384 and 233,221
Similar ratio
Find third proportional to 161,073 and 349,825.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.