Home / 102,252-209,462

Finding the Third Proportional to 102,252 and 209,462

Calculator

Solution

The third proportional to 102,252 and 209,462 is: 429,080.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,252 : 209,462 = 209,462 : x
  2. Step 2: Convert to fraction form
    102,252/209,462 = 209,462/x
  3. Step 3: Cross multiply
    102,252x = 209,462 × 209,462
  4. Step 4: Simplify right side
    102,252x = 43,874,329,444
  5. Step 5: Solve for x
    x = 43,874,329,444/102,252
  6. Step 6: Final answer
    x = 429,080.40

Related Problems

Find third proportional to 51,126 and 104,731
Half scale
Find third proportional to 204,504 and 418,924
Double scale
Find third proportional to 102,254 and 209,466
Similar ratio
Find third proportional to 153,378 and 314,193
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.