Home / 146,586-319,506

Finding the Third Proportional to 146,586 and 319,506

Calculator

Solution

The third proportional to 146,586 and 319,506 is: 696,410.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,586 : 319,506 = 319,506 : x
  2. Step 2: Convert to fraction form
    146,586/319,506 = 319,506/x
  3. Step 3: Cross multiply
    146,586x = 319,506 × 319,506
  4. Step 4: Simplify right side
    146,586x = 102,084,084,036
  5. Step 5: Solve for x
    x = 102,084,084,036/146,586
  6. Step 6: Final answer
    x = 696,410.87

Related Problems

Find third proportional to 73,293 and 159,753
Half scale
Find third proportional to 293,172 and 639,012
Double scale
Find third proportional to 146,588 and 319,510
Similar ratio
Find third proportional to 219,879 and 479,259
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.