Home / 145,951-314,416

Finding the Third Proportional to 145,951 and 314,416

Calculator

Solution

The third proportional to 145,951 and 314,416 is: 677,332.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,951 : 314,416 = 314,416 : x
  2. Step 2: Convert to fraction form
    145,951/314,416 = 314,416/x
  3. Step 3: Cross multiply
    145,951x = 314,416 × 314,416
  4. Step 4: Simplify right side
    145,951x = 98,857,421,056
  5. Step 5: Solve for x
    x = 98,857,421,056/145,951
  6. Step 6: Final answer
    x = 677,332.95

Related Problems

Find third proportional to 72,975.50 and 157,208
Half scale
Find third proportional to 291,902 and 628,832
Double scale
Find third proportional to 145,953 and 314,420
Similar ratio
Find third proportional to 218,926.50 and 471,624
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.