Home / 361-470

Finding the Third Proportional to 361 and 470

Calculator

Solution

The third proportional to 361 and 470 is: 611.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    361 : 470 = 470 : x
  2. Step 2: Convert to fraction form
    361/470 = 470/x
  3. Step 3: Cross multiply
    361x = 470 × 470
  4. Step 4: Simplify right side
    361x = 220,900
  5. Step 5: Solve for x
    x = 220,900/361
  6. Step 6: Final answer
    x = 611.91

Related Problems

Find third proportional to 180.50 and 235
Half scale
Find third proportional to 722 and 940
Double scale
Find third proportional to 363 and 473
Similar ratio
Find third proportional to 541.50 and 705
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.