Home / 97,536-209,838

Finding the Third Proportional to 97,536 and 209,838

Calculator

Solution

The third proportional to 97,536 and 209,838 is: 451,443.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,536 : 209,838 = 209,838 : x
  2. Step 2: Convert to fraction form
    97,536/209,838 = 209,838/x
  3. Step 3: Cross multiply
    97,536x = 209,838 × 209,838
  4. Step 4: Simplify right side
    97,536x = 44,031,986,244
  5. Step 5: Solve for x
    x = 44,031,986,244/97,536
  6. Step 6: Final answer
    x = 451,443.43

Related Problems

Find third proportional to 48,768 and 104,919
Half scale
Find third proportional to 195,072 and 419,676
Double scale
Find third proportional to 97,538 and 209,842
Similar ratio
Find third proportional to 146,304 and 314,757
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.