Home / 201,364-319,902

Finding the Third Proportional to 201,364 and 319,902

Calculator

Solution

The third proportional to 201,364 and 319,902 is: 508,220.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,364 : 319,902 = 319,902 : x
  2. Step 2: Convert to fraction form
    201,364/319,902 = 319,902/x
  3. Step 3: Cross multiply
    201,364x = 319,902 × 319,902
  4. Step 4: Simplify right side
    201,364x = 102,337,289,604
  5. Step 5: Solve for x
    x = 102,337,289,604/201,364
  6. Step 6: Final answer
    x = 508,220.38

Related Problems

Find third proportional to 100,682 and 159,951
Half scale
Find third proportional to 402,728 and 639,804
Double scale
Find third proportional to 201,366 and 319,905
Similar ratio
Find third proportional to 302,046 and 479,853
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.