Home / 217,522-306,324

Finding the Third Proportional to 217,522 and 306,324

Calculator

Solution

The third proportional to 217,522 and 306,324 is: 431,378.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,522 : 306,324 = 306,324 : x
  2. Step 2: Convert to fraction form
    217,522/306,324 = 306,324/x
  3. Step 3: Cross multiply
    217,522x = 306,324 × 306,324
  4. Step 4: Simplify right side
    217,522x = 93,834,392,976
  5. Step 5: Solve for x
    x = 93,834,392,976/217,522
  6. Step 6: Final answer
    x = 431,378.86

Related Problems

Find third proportional to 108,761 and 153,162
Half scale
Find third proportional to 435,044 and 612,648
Double scale
Find third proportional to 217,524 and 306,327
Similar ratio
Find third proportional to 326,283 and 459,486
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.