Home / 97,408-209,380

Finding the Third Proportional to 97,408 and 209,380

Calculator

Solution

The third proportional to 97,408 and 209,380 is: 450,065.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,408 : 209,380 = 209,380 : x
  2. Step 2: Convert to fraction form
    97,408/209,380 = 209,380/x
  3. Step 3: Cross multiply
    97,408x = 209,380 × 209,380
  4. Step 4: Simplify right side
    97,408x = 43,839,984,400
  5. Step 5: Solve for x
    x = 43,839,984,400/97,408
  6. Step 6: Final answer
    x = 450,065.54

Related Problems

Find third proportional to 48,704 and 104,690
Half scale
Find third proportional to 194,816 and 418,760
Double scale
Find third proportional to 97,410 and 209,384
Similar ratio
Find third proportional to 146,112 and 314,070
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.