Home / 320,158-463,707

Finding the Third Proportional to 320,158 and 463,707

Calculator

Solution

The third proportional to 320,158 and 463,707 is: 671,618.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,158 : 463,707 = 463,707 : x
  2. Step 2: Convert to fraction form
    320,158/463,707 = 463,707/x
  3. Step 3: Cross multiply
    320,158x = 463,707 × 463,707
  4. Step 4: Simplify right side
    320,158x = 215,024,181,849
  5. Step 5: Solve for x
    x = 215,024,181,849/320,158
  6. Step 6: Final answer
    x = 671,618.96

Related Problems

Find third proportional to 160,079 and 231,853.50
Half scale
Find third proportional to 640,316 and 927,414
Double scale
Find third proportional to 320,160 and 463,710
Similar ratio
Find third proportional to 480,237 and 695,560.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.