Home / 65,424-97,872

Finding the Third Proportional to 65,424 and 97,872

Calculator

Solution

The third proportional to 65,424 and 97,872 is: 146,413.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,424 : 97,872 = 97,872 : x
  2. Step 2: Convert to fraction form
    65,424/97,872 = 97,872/x
  3. Step 3: Cross multiply
    65,424x = 97,872 × 97,872
  4. Step 4: Simplify right side
    65,424x = 9,578,928,384
  5. Step 5: Solve for x
    x = 9,578,928,384/65,424
  6. Step 6: Final answer
    x = 146,413.07

Related Problems

Find third proportional to 32,712 and 48,936
Half scale
Find third proportional to 130,848 and 195,744
Double scale
Find third proportional to 65,426 and 97,875
Similar ratio
Find third proportional to 98,136 and 146,808
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.