Home / 213,304-456,133

Finding the Third Proportional to 213,304 and 456,133

Calculator

Solution

The third proportional to 213,304 and 456,133 is: 975,402.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,304 : 456,133 = 456,133 : x
  2. Step 2: Convert to fraction form
    213,304/456,133 = 456,133/x
  3. Step 3: Cross multiply
    213,304x = 456,133 × 456,133
  4. Step 4: Simplify right side
    213,304x = 208,057,313,689
  5. Step 5: Solve for x
    x = 208,057,313,689/213,304
  6. Step 6: Final answer
    x = 975,402.78

Related Problems

Find third proportional to 106,652 and 228,066.50
Half scale
Find third proportional to 426,608 and 912,266
Double scale
Find third proportional to 213,306 and 456,137
Similar ratio
Find third proportional to 319,956 and 684,199.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.