Home / 109,282-164,699

Finding the Third Proportional to 109,282 and 164,699

Calculator

Solution

The third proportional to 109,282 and 164,699 is: 248,218.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,282 : 164,699 = 164,699 : x
  2. Step 2: Convert to fraction form
    109,282/164,699 = 164,699/x
  3. Step 3: Cross multiply
    109,282x = 164,699 × 164,699
  4. Step 4: Simplify right side
    109,282x = 27,125,760,601
  5. Step 5: Solve for x
    x = 27,125,760,601/109,282
  6. Step 6: Final answer
    x = 248,218.01

Related Problems

Find third proportional to 54,641 and 82,349.50
Half scale
Find third proportional to 218,564 and 329,398
Double scale
Find third proportional to 109,284 and 164,702
Similar ratio
Find third proportional to 163,923 and 247,048.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.