Home / 138,009-202,470

Finding the Third Proportional to 138,009 and 202,470

Calculator

Solution

The third proportional to 138,009 and 202,470 is: 297,039.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,009 : 202,470 = 202,470 : x
  2. Step 2: Convert to fraction form
    138,009/202,470 = 202,470/x
  3. Step 3: Cross multiply
    138,009x = 202,470 × 202,470
  4. Step 4: Simplify right side
    138,009x = 40,994,100,900
  5. Step 5: Solve for x
    x = 40,994,100,900/138,009
  6. Step 6: Final answer
    x = 297,039.33

Related Problems

Find third proportional to 69,004.50 and 101,235
Half scale
Find third proportional to 276,018 and 404,940
Double scale
Find third proportional to 138,011 and 202,473
Similar ratio
Find third proportional to 207,013.50 and 303,705
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.