Home / 297,961-382,566

Finding the Third Proportional to 297,961 and 382,566

Calculator

Solution

The third proportional to 297,961 and 382,566 is: 491,194.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,961 : 382,566 = 382,566 : x
  2. Step 2: Convert to fraction form
    297,961/382,566 = 382,566/x
  3. Step 3: Cross multiply
    297,961x = 382,566 × 382,566
  4. Step 4: Simplify right side
    297,961x = 146,356,744,356
  5. Step 5: Solve for x
    x = 146,356,744,356/297,961
  6. Step 6: Final answer
    x = 491,194.30

Related Problems

Find third proportional to 148,980.50 and 191,283
Half scale
Find third proportional to 595,922 and 765,132
Double scale
Find third proportional to 297,963 and 382,569
Similar ratio
Find third proportional to 446,941.50 and 573,849
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.