Home / 212,766-317,643

Finding the Third Proportional to 212,766 and 317,643

Calculator

Solution

The third proportional to 212,766 and 317,643 is: 474,216.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,766 : 317,643 = 317,643 : x
  2. Step 2: Convert to fraction form
    212,766/317,643 = 317,643/x
  3. Step 3: Cross multiply
    212,766x = 317,643 × 317,643
  4. Step 4: Simplify right side
    212,766x = 100,897,075,449
  5. Step 5: Solve for x
    x = 100,897,075,449/212,766
  6. Step 6: Final answer
    x = 474,216.16

Related Problems

Find third proportional to 106,383 and 158,821.50
Half scale
Find third proportional to 425,532 and 635,286
Double scale
Find third proportional to 212,768 and 317,646
Similar ratio
Find third proportional to 319,149 and 476,464.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.