Home / 147,220-233,214

Finding the Third Proportional to 147,220 and 233,214

Calculator

Solution

The third proportional to 147,220 and 233,214 is: 369,438.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,220 : 233,214 = 233,214 : x
  2. Step 2: Convert to fraction form
    147,220/233,214 = 233,214/x
  3. Step 3: Cross multiply
    147,220x = 233,214 × 233,214
  4. Step 4: Simplify right side
    147,220x = 54,388,769,796
  5. Step 5: Solve for x
    x = 54,388,769,796/147,220
  6. Step 6: Final answer
    x = 369,438.73

Related Problems

Find third proportional to 73,610 and 116,607
Half scale
Find third proportional to 294,440 and 466,428
Double scale
Find third proportional to 147,222 and 233,217
Similar ratio
Find third proportional to 220,830 and 349,821
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.