Home / 319,774-461,982

Finding the Third Proportional to 319,774 and 461,982

Calculator

Solution

The third proportional to 319,774 and 461,982 is: 667,431.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,774 : 461,982 = 461,982 : x
  2. Step 2: Convert to fraction form
    319,774/461,982 = 461,982/x
  3. Step 3: Cross multiply
    319,774x = 461,982 × 461,982
  4. Step 4: Simplify right side
    319,774x = 213,427,368,324
  5. Step 5: Solve for x
    x = 213,427,368,324/319,774
  6. Step 6: Final answer
    x = 667,431.90

Related Problems

Find third proportional to 159,887 and 230,991
Half scale
Find third proportional to 639,548 and 923,964
Double scale
Find third proportional to 319,776 and 461,985
Similar ratio
Find third proportional to 479,661 and 692,973
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.