Home / 232-470

Finding the Third Proportional to 232 and 470

Calculator

Solution

The third proportional to 232 and 470 is: 952.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    232 : 470 = 470 : x
  2. Step 2: Convert to fraction form
    232/470 = 470/x
  3. Step 3: Cross multiply
    232x = 470 × 470
  4. Step 4: Simplify right side
    232x = 220,900
  5. Step 5: Solve for x
    x = 220,900/232
  6. Step 6: Final answer
    x = 952.16

Related Problems

Find third proportional to 116 and 235
Half scale
Find third proportional to 464 and 940
Double scale
Find third proportional to 234 and 474
Similar ratio
Find third proportional to 348 and 705
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.