Home / 207,319-310,914

Finding the Third Proportional to 207,319 and 310,914

Calculator

Solution

The third proportional to 207,319 and 310,914 is: 466,274.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,319 : 310,914 = 310,914 : x
  2. Step 2: Convert to fraction form
    207,319/310,914 = 310,914/x
  3. Step 3: Cross multiply
    207,319x = 310,914 × 310,914
  4. Step 4: Simplify right side
    207,319x = 96,667,515,396
  5. Step 5: Solve for x
    x = 96,667,515,396/207,319
  6. Step 6: Final answer
    x = 466,274.27

Related Problems

Find third proportional to 103,659.50 and 155,457
Half scale
Find third proportional to 414,638 and 621,828
Double scale
Find third proportional to 207,321 and 310,917
Similar ratio
Find third proportional to 310,978.50 and 466,371
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.