Home / 142,392-313,206

Finding the Third Proportional to 142,392 and 313,206

Calculator

Solution

The third proportional to 142,392 and 313,206 is: 688,929.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,392 : 313,206 = 313,206 : x
  2. Step 2: Convert to fraction form
    142,392/313,206 = 313,206/x
  3. Step 3: Cross multiply
    142,392x = 313,206 × 313,206
  4. Step 4: Simplify right side
    142,392x = 98,097,998,436
  5. Step 5: Solve for x
    x = 98,097,998,436/142,392
  6. Step 6: Final answer
    x = 688,929.14

Related Problems

Find third proportional to 71,196 and 156,603
Half scale
Find third proportional to 284,784 and 626,412
Double scale
Find third proportional to 142,394 and 313,210
Similar ratio
Find third proportional to 213,588 and 469,809
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.