Home / 140,046-209,580

Finding the Third Proportional to 140,046 and 209,580

Calculator

Solution

The third proportional to 140,046 and 209,580 is: 313,638.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,046 : 209,580 = 209,580 : x
  2. Step 2: Convert to fraction form
    140,046/209,580 = 209,580/x
  3. Step 3: Cross multiply
    140,046x = 209,580 × 209,580
  4. Step 4: Simplify right side
    140,046x = 43,923,776,400
  5. Step 5: Solve for x
    x = 43,923,776,400/140,046
  6. Step 6: Final answer
    x = 313,638.21

Related Problems

Find third proportional to 70,023 and 104,790
Half scale
Find third proportional to 280,092 and 419,160
Double scale
Find third proportional to 140,048 and 209,583
Similar ratio
Find third proportional to 210,069 and 314,370
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.