Home / 137,206-296,282

Finding the Third Proportional to 137,206 and 296,282

Calculator

Solution

The third proportional to 137,206 and 296,282 is: 639,789.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,206 : 296,282 = 296,282 : x
  2. Step 2: Convert to fraction form
    137,206/296,282 = 296,282/x
  3. Step 3: Cross multiply
    137,206x = 296,282 × 296,282
  4. Step 4: Simplify right side
    137,206x = 87,783,023,524
  5. Step 5: Solve for x
    x = 87,783,023,524/137,206
  6. Step 6: Final answer
    x = 639,789.98

Related Problems

Find third proportional to 68,603 and 148,141
Half scale
Find third proportional to 274,412 and 592,564
Double scale
Find third proportional to 137,208 and 296,286
Similar ratio
Find third proportional to 205,809 and 444,423
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.