Home / 196,142-304,257

Finding the Third Proportional to 196,142 and 304,257

Calculator

Solution

The third proportional to 196,142 and 304,257 is: 471,965.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,142 : 304,257 = 304,257 : x
  2. Step 2: Convert to fraction form
    196,142/304,257 = 304,257/x
  3. Step 3: Cross multiply
    196,142x = 304,257 × 304,257
  4. Step 4: Simplify right side
    196,142x = 92,572,322,049
  5. Step 5: Solve for x
    x = 92,572,322,049/196,142
  6. Step 6: Final answer
    x = 471,965.83

Related Problems

Find third proportional to 98,071 and 152,128.50
Half scale
Find third proportional to 392,284 and 608,514
Double scale
Find third proportional to 196,144 and 304,260
Similar ratio
Find third proportional to 294,213 and 456,385.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.