Home / 102,258-223,461

Finding the Third Proportional to 102,258 and 223,461

Calculator

Solution

The third proportional to 102,258 and 223,461 is: 488,321.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,258 : 223,461 = 223,461 : x
  2. Step 2: Convert to fraction form
    102,258/223,461 = 223,461/x
  3. Step 3: Cross multiply
    102,258x = 223,461 × 223,461
  4. Step 4: Simplify right side
    102,258x = 49,934,818,521
  5. Step 5: Solve for x
    x = 49,934,818,521/102,258
  6. Step 6: Final answer
    x = 488,321.88

Related Problems

Find third proportional to 51,129 and 111,730.50
Half scale
Find third proportional to 204,516 and 446,922
Double scale
Find third proportional to 102,260 and 223,465
Similar ratio
Find third proportional to 153,387 and 335,191.50
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.