Home / 140,102-209,658

Finding the Third Proportional to 140,102 and 209,658

Calculator

Solution

The third proportional to 140,102 and 209,658 is: 313,746.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,102 : 209,658 = 209,658 : x
  2. Step 2: Convert to fraction form
    140,102/209,658 = 209,658/x
  3. Step 3: Cross multiply
    140,102x = 209,658 × 209,658
  4. Step 4: Simplify right side
    140,102x = 43,956,476,964
  5. Step 5: Solve for x
    x = 43,956,476,964/140,102
  6. Step 6: Final answer
    x = 313,746.25

Related Problems

Find third proportional to 70,051 and 104,829
Half scale
Find third proportional to 280,204 and 419,316
Double scale
Find third proportional to 140,104 and 209,661
Similar ratio
Find third proportional to 210,153 and 314,487
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.