Home / 106,569-233,206

Finding the Third Proportional to 106,569 and 233,206

Calculator

Solution

The third proportional to 106,569 and 233,206 is: 510,327.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,569 : 233,206 = 233,206 : x
  2. Step 2: Convert to fraction form
    106,569/233,206 = 233,206/x
  3. Step 3: Cross multiply
    106,569x = 233,206 × 233,206
  4. Step 4: Simplify right side
    106,569x = 54,385,038,436
  5. Step 5: Solve for x
    x = 54,385,038,436/106,569
  6. Step 6: Final answer
    x = 510,327.00

Related Problems

Find third proportional to 53,284.50 and 116,603
Half scale
Find third proportional to 213,138 and 466,412
Double scale
Find third proportional to 106,571 and 233,210
Similar ratio
Find third proportional to 159,853.50 and 349,809
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.