Home / 219,324-297,197

Finding the Third Proportional to 219,324 and 297,197

Calculator

Solution

The third proportional to 219,324 and 297,197 is: 402,719.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,324 : 297,197 = 297,197 : x
  2. Step 2: Convert to fraction form
    219,324/297,197 = 297,197/x
  3. Step 3: Cross multiply
    219,324x = 297,197 × 297,197
  4. Step 4: Simplify right side
    219,324x = 88,326,056,809
  5. Step 5: Solve for x
    x = 88,326,056,809/219,324
  6. Step 6: Final answer
    x = 402,719.52

Related Problems

Find third proportional to 109,662 and 148,598.50
Half scale
Find third proportional to 438,648 and 594,394
Double scale
Find third proportional to 219,326 and 297,200
Similar ratio
Find third proportional to 328,986 and 445,795.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.