Home / 429,538-970,462

Finding the Third Proportional to 429,538 and 970,462

Calculator

Solution

The third proportional to 429,538 and 970,462 is: 2,192,580.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,538 : 970,462 = 970,462 : x
  2. Step 2: Convert to fraction form
    429,538/970,462 = 970,462/x
  3. Step 3: Cross multiply
    429,538x = 970,462 × 970,462
  4. Step 4: Simplify right side
    429,538x = 941,796,493,444
  5. Step 5: Solve for x
    x = 941,796,493,444/429,538
  6. Step 6: Final answer
    x = 2,192,580.15

Related Problems

Find third proportional to 214,769 and 485,231
Half scale
Find third proportional to 859,076 and 1,940,924
Double scale
Find third proportional to 429,540 and 970,467
Similar ratio
Find third proportional to 644,307 and 1,455,693
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.