Home / 19,564-30,306

Finding the Third Proportional to 19,564 and 30,306

Calculator

Solution

The third proportional to 19,564 and 30,306 is: 46,946.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,564 : 30,306 = 30,306 : x
  2. Step 2: Convert to fraction form
    19,564/30,306 = 30,306/x
  3. Step 3: Cross multiply
    19,564x = 30,306 × 30,306
  4. Step 4: Simplify right side
    19,564x = 918,453,636
  5. Step 5: Solve for x
    x = 918,453,636/19,564
  6. Step 6: Final answer
    x = 46,946.11

Related Problems

Find third proportional to 9,782 and 15,153
Half scale
Find third proportional to 39,128 and 60,612
Double scale
Find third proportional to 19,566 and 30,309
Similar ratio
Find third proportional to 29,346 and 45,459
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.