Home / 465-646

Finding the Third Proportional to 465 and 646

Calculator

Solution

The third proportional to 465 and 646 is: 897.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    465 : 646 = 646 : x
  2. Step 2: Convert to fraction form
    465/646 = 646/x
  3. Step 3: Cross multiply
    465x = 646 × 646
  4. Step 4: Simplify right side
    465x = 417,316
  5. Step 5: Solve for x
    x = 417,316/465
  6. Step 6: Final answer
    x = 897.45

Related Problems

Find third proportional to 232.50 and 323
Half scale
Find third proportional to 930 and 1,292
Double scale
Find third proportional to 467 and 649
Similar ratio
Find third proportional to 697.50 and 969
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.