Home / 106,565-229,732

Finding the Third Proportional to 106,565 and 229,732

Calculator

Solution

The third proportional to 106,565 and 229,732 is: 495,254.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,565 : 229,732 = 229,732 : x
  2. Step 2: Convert to fraction form
    106,565/229,732 = 229,732/x
  3. Step 3: Cross multiply
    106,565x = 229,732 × 229,732
  4. Step 4: Simplify right side
    106,565x = 52,776,791,824
  5. Step 5: Solve for x
    x = 52,776,791,824/106,565
  6. Step 6: Final answer
    x = 495,254.46

Related Problems

Find third proportional to 53,282.50 and 114,866
Half scale
Find third proportional to 213,130 and 459,464
Double scale
Find third proportional to 106,567 and 229,736
Similar ratio
Find third proportional to 159,847.50 and 344,598
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.