Home / 210,720-457,152

Finding the Third Proportional to 210,720 and 457,152

Calculator

Solution

The third proportional to 210,720 and 457,152 is: 991,780.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,720 : 457,152 = 457,152 : x
  2. Step 2: Convert to fraction form
    210,720/457,152 = 457,152/x
  3. Step 3: Cross multiply
    210,720x = 457,152 × 457,152
  4. Step 4: Simplify right side
    210,720x = 208,987,951,104
  5. Step 5: Solve for x
    x = 208,987,951,104/210,720
  6. Step 6: Final answer
    x = 991,780.33

Related Problems

Find third proportional to 105,360 and 228,576
Half scale
Find third proportional to 421,440 and 914,304
Double scale
Find third proportional to 210,722 and 457,156
Similar ratio
Find third proportional to 316,080 and 685,728
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.