Home / 211,921-297,006

Finding the Third Proportional to 211,921 and 297,006

Calculator

Solution

The third proportional to 211,921 and 297,006 is: 416,252.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,921 : 297,006 = 297,006 : x
  2. Step 2: Convert to fraction form
    211,921/297,006 = 297,006/x
  3. Step 3: Cross multiply
    211,921x = 297,006 × 297,006
  4. Step 4: Simplify right side
    211,921x = 88,212,564,036
  5. Step 5: Solve for x
    x = 88,212,564,036/211,921
  6. Step 6: Final answer
    x = 416,252.11

Related Problems

Find third proportional to 105,960.50 and 148,503
Half scale
Find third proportional to 423,842 and 594,012
Double scale
Find third proportional to 211,923 and 297,009
Similar ratio
Find third proportional to 317,881.50 and 445,509
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.