Home / 172,614-233,214

Finding the Third Proportional to 172,614 and 233,214

Calculator

Solution

The third proportional to 172,614 and 233,214 is: 315,088.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,614 : 233,214 = 233,214 : x
  2. Step 2: Convert to fraction form
    172,614/233,214 = 233,214/x
  3. Step 3: Cross multiply
    172,614x = 233,214 × 233,214
  4. Step 4: Simplify right side
    172,614x = 54,388,769,796
  5. Step 5: Solve for x
    x = 54,388,769,796/172,614
  6. Step 6: Final answer
    x = 315,088.98

Related Problems

Find third proportional to 86,307 and 116,607
Half scale
Find third proportional to 345,228 and 466,428
Double scale
Find third proportional to 172,616 and 233,217
Similar ratio
Find third proportional to 258,921 and 349,821
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.