Home / 75,780-164,664

Finding the Third Proportional to 75,780 and 164,664

Calculator

Solution

The third proportional to 75,780 and 164,664 is: 357,801.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,780 : 164,664 = 164,664 : x
  2. Step 2: Convert to fraction form
    75,780/164,664 = 164,664/x
  3. Step 3: Cross multiply
    75,780x = 164,664 × 164,664
  4. Step 4: Simplify right side
    75,780x = 27,114,232,896
  5. Step 5: Solve for x
    x = 27,114,232,896/75,780
  6. Step 6: Final answer
    x = 357,801.96

Related Problems

Find third proportional to 37,890 and 82,332
Half scale
Find third proportional to 151,560 and 329,328
Double scale
Find third proportional to 75,782 and 164,668
Similar ratio
Find third proportional to 113,670 and 246,996
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.