Home / 219,020-470,762

Finding the Third Proportional to 219,020 and 470,762

Calculator

Solution

The third proportional to 219,020 and 470,762 is: 1,011,856.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,020 : 470,762 = 470,762 : x
  2. Step 2: Convert to fraction form
    219,020/470,762 = 470,762/x
  3. Step 3: Cross multiply
    219,020x = 470,762 × 470,762
  4. Step 4: Simplify right side
    219,020x = 221,616,860,644
  5. Step 5: Solve for x
    x = 221,616,860,644/219,020
  6. Step 6: Final answer
    x = 1,011,856.73

Related Problems

Find third proportional to 109,510 and 235,381
Half scale
Find third proportional to 438,040 and 941,524
Double scale
Find third proportional to 219,022 and 470,766
Similar ratio
Find third proportional to 328,530 and 706,143
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.