Home / 469,964-669,954

Finding the Third Proportional to 469,964 and 669,954

Calculator

Solution

The third proportional to 469,964 and 669,954 is: 955,048.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,964 : 669,954 = 669,954 : x
  2. Step 2: Convert to fraction form
    469,964/669,954 = 669,954/x
  3. Step 3: Cross multiply
    469,964x = 669,954 × 669,954
  4. Step 4: Simplify right side
    469,964x = 448,838,362,116
  5. Step 5: Solve for x
    x = 448,838,362,116/469,964
  6. Step 6: Final answer
    x = 955,048.39

Related Problems

Find third proportional to 234,982 and 334,977
Half scale
Find third proportional to 939,928 and 1,339,908
Double scale
Find third proportional to 469,966 and 669,957
Similar ratio
Find third proportional to 704,946 and 1,004,931
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.