Home / 414,332-902,470

Finding the Third Proportional to 414,332 and 902,470

Calculator

Solution

The third proportional to 414,332 and 902,470 is: 1,965,699.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,332 : 902,470 = 902,470 : x
  2. Step 2: Convert to fraction form
    414,332/902,470 = 902,470/x
  3. Step 3: Cross multiply
    414,332x = 902,470 × 902,470
  4. Step 4: Simplify right side
    414,332x = 814,452,100,900
  5. Step 5: Solve for x
    x = 814,452,100,900/414,332
  6. Step 6: Final answer
    x = 1,965,699.25

Related Problems

Find third proportional to 207,166 and 451,235
Half scale
Find third proportional to 828,664 and 1,804,940
Double scale
Find third proportional to 414,334 and 902,474
Similar ratio
Find third proportional to 621,498 and 1,353,705
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.