Home / 142,086-212,154

Finding the Third Proportional to 142,086 and 212,154

Calculator

Solution

The third proportional to 142,086 and 212,154 is: 316,775.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,086 : 212,154 = 212,154 : x
  2. Step 2: Convert to fraction form
    142,086/212,154 = 212,154/x
  3. Step 3: Cross multiply
    142,086x = 212,154 × 212,154
  4. Step 4: Simplify right side
    142,086x = 45,009,319,716
  5. Step 5: Solve for x
    x = 45,009,319,716/142,086
  6. Step 6: Final answer
    x = 316,775.19

Related Problems

Find third proportional to 71,043 and 106,077
Half scale
Find third proportional to 284,172 and 424,308
Double scale
Find third proportional to 142,088 and 212,157
Similar ratio
Find third proportional to 213,129 and 318,231
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.