Home / 97,714-214,132

Finding the Third Proportional to 97,714 and 214,132

Calculator

Solution

The third proportional to 97,714 and 214,132 is: 469,252.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,714 : 214,132 = 214,132 : x
  2. Step 2: Convert to fraction form
    97,714/214,132 = 214,132/x
  3. Step 3: Cross multiply
    97,714x = 214,132 × 214,132
  4. Step 4: Simplify right side
    97,714x = 45,852,513,424
  5. Step 5: Solve for x
    x = 45,852,513,424/97,714
  6. Step 6: Final answer
    x = 469,252.24

Related Problems

Find third proportional to 48,857 and 107,066
Half scale
Find third proportional to 195,428 and 428,264
Double scale
Find third proportional to 97,716 and 214,136
Similar ratio
Find third proportional to 146,571 and 321,198
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.