Home / 263,748-419,328

Finding the Third Proportional to 263,748 and 419,328

Calculator

Solution

The third proportional to 263,748 and 419,328 is: 666,681.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,748 : 419,328 = 419,328 : x
  2. Step 2: Convert to fraction form
    263,748/419,328 = 419,328/x
  3. Step 3: Cross multiply
    263,748x = 419,328 × 419,328
  4. Step 4: Simplify right side
    263,748x = 175,835,971,584
  5. Step 5: Solve for x
    x = 175,835,971,584/263,748
  6. Step 6: Final answer
    x = 666,681.72

Related Problems

Find third proportional to 131,874 and 209,664
Half scale
Find third proportional to 527,496 and 838,656
Double scale
Find third proportional to 263,750 and 419,331
Similar ratio
Find third proportional to 395,622 and 628,992
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.