Home / 146,471-319,798

Finding the Third Proportional to 146,471 and 319,798

Calculator

Solution

The third proportional to 146,471 and 319,798 is: 698,232.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,471 : 319,798 = 319,798 : x
  2. Step 2: Convert to fraction form
    146,471/319,798 = 319,798/x
  3. Step 3: Cross multiply
    146,471x = 319,798 × 319,798
  4. Step 4: Simplify right side
    146,471x = 102,270,760,804
  5. Step 5: Solve for x
    x = 102,270,760,804/146,471
  6. Step 6: Final answer
    x = 698,232.15

Related Problems

Find third proportional to 73,235.50 and 159,899
Half scale
Find third proportional to 292,942 and 639,596
Double scale
Find third proportional to 146,473 and 319,802
Similar ratio
Find third proportional to 219,706.50 and 479,697
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.