Home / 146,038-213,313

Finding the Third Proportional to 146,038 and 213,313

Calculator

Solution

The third proportional to 146,038 and 213,313 is: 311,579.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,038 : 213,313 = 213,313 : x
  2. Step 2: Convert to fraction form
    146,038/213,313 = 213,313/x
  3. Step 3: Cross multiply
    146,038x = 213,313 × 213,313
  4. Step 4: Simplify right side
    146,038x = 45,502,435,969
  5. Step 5: Solve for x
    x = 45,502,435,969/146,038
  6. Step 6: Final answer
    x = 311,579.42

Related Problems

Find third proportional to 73,019 and 106,656.50
Half scale
Find third proportional to 292,076 and 426,626
Double scale
Find third proportional to 146,040 and 213,316
Similar ratio
Find third proportional to 219,057 and 319,969.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.