Home / 102,042-216,438

Finding the Third Proportional to 102,042 and 216,438

Calculator

Solution

The third proportional to 102,042 and 216,438 is: 459,079.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,042 : 216,438 = 216,438 : x
  2. Step 2: Convert to fraction form
    102,042/216,438 = 216,438/x
  3. Step 3: Cross multiply
    102,042x = 216,438 × 216,438
  4. Step 4: Simplify right side
    102,042x = 46,845,407,844
  5. Step 5: Solve for x
    x = 46,845,407,844/102,042
  6. Step 6: Final answer
    x = 459,079.67

Related Problems

Find third proportional to 51,021 and 108,219
Half scale
Find third proportional to 204,084 and 432,876
Double scale
Find third proportional to 102,044 and 216,442
Similar ratio
Find third proportional to 153,063 and 324,657
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.