Home / 216,564-521,724

Finding the Third Proportional to 216,564 and 521,724

Calculator

Solution

The third proportional to 216,564 and 521,724 is: 1,256,884.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,564 : 521,724 = 521,724 : x
  2. Step 2: Convert to fraction form
    216,564/521,724 = 521,724/x
  3. Step 3: Cross multiply
    216,564x = 521,724 × 521,724
  4. Step 4: Simplify right side
    216,564x = 272,195,932,176
  5. Step 5: Solve for x
    x = 272,195,932,176/216,564
  6. Step 6: Final answer
    x = 1,256,884.49

Related Problems

Find third proportional to 108,282 and 260,862
Half scale
Find third proportional to 433,128 and 1,043,448
Double scale
Find third proportional to 216,566 and 521,729
Similar ratio
Find third proportional to 324,846 and 782,586
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.