Home / 411,840-902,412

Finding the Third Proportional to 411,840 and 902,412

Calculator

Solution

The third proportional to 411,840 and 902,412 is: 1,977,339.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,840 : 902,412 = 902,412 : x
  2. Step 2: Convert to fraction form
    411,840/902,412 = 902,412/x
  3. Step 3: Cross multiply
    411,840x = 902,412 × 902,412
  4. Step 4: Simplify right side
    411,840x = 814,347,417,744
  5. Step 5: Solve for x
    x = 814,347,417,744/411,840
  6. Step 6: Final answer
    x = 1,977,339.30

Related Problems

Find third proportional to 205,920 and 451,206
Half scale
Find third proportional to 823,680 and 1,804,824
Double scale
Find third proportional to 411,842 and 902,416
Similar ratio
Find third proportional to 617,760 and 1,353,618
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.