Home / 338,946-464,769

Finding the Third Proportional to 338,946 and 464,769

Calculator

Solution

The third proportional to 338,946 and 464,769 is: 637,299.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,946 : 464,769 = 464,769 : x
  2. Step 2: Convert to fraction form
    338,946/464,769 = 464,769/x
  3. Step 3: Cross multiply
    338,946x = 464,769 × 464,769
  4. Step 4: Simplify right side
    338,946x = 216,010,223,361
  5. Step 5: Solve for x
    x = 216,010,223,361/338,946
  6. Step 6: Final answer
    x = 637,299.82

Related Problems

Find third proportional to 169,473 and 232,384.50
Half scale
Find third proportional to 677,892 and 929,538
Double scale
Find third proportional to 338,948 and 464,772
Similar ratio
Find third proportional to 508,419 and 697,153.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.