Home / 102,386-212,946

Finding the Third Proportional to 102,386 and 212,946

Calculator

Solution

The third proportional to 102,386 and 212,946 is: 442,892.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,386 : 212,946 = 212,946 : x
  2. Step 2: Convert to fraction form
    102,386/212,946 = 212,946/x
  3. Step 3: Cross multiply
    102,386x = 212,946 × 212,946
  4. Step 4: Simplify right side
    102,386x = 45,345,998,916
  5. Step 5: Solve for x
    x = 45,345,998,916/102,386
  6. Step 6: Final answer
    x = 442,892.57

Related Problems

Find third proportional to 51,193 and 106,473
Half scale
Find third proportional to 204,772 and 425,892
Double scale
Find third proportional to 102,388 and 212,950
Similar ratio
Find third proportional to 153,579 and 319,419
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.