Home / 322.31-463.13

Finding the Third Proportional to 322.31 and 463.13

Calculator

Solution

The third proportional to 322.31 and 463.13 is: 665.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.31 : 463.13 = 463.13 : x
  2. Step 2: Convert to fraction form
    322.31/463.13 = 463.13/x
  3. Step 3: Cross multiply
    322.31x = 463.13 × 463.13
  4. Step 4: Simplify right side
    322.31x = 214,484.77
  5. Step 5: Solve for x
    x = 214,484.77/322.31
  6. Step 6: Final answer
    x = 665.46

Related Problems

Find third proportional to 161.16 and 231.56
Half scale
Find third proportional to 644.63 and 926.25
Double scale
Find third proportional to 324 and 466
Similar ratio
Find third proportional to 483.47 and 694.69
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.