Home / 65,362-97,782

Finding the Third Proportional to 65,362 and 97,782

Calculator

Solution

The third proportional to 65,362 and 97,782 is: 146,282.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,362 : 97,782 = 97,782 : x
  2. Step 2: Convert to fraction form
    65,362/97,782 = 97,782/x
  3. Step 3: Cross multiply
    65,362x = 97,782 × 97,782
  4. Step 4: Simplify right side
    65,362x = 9,561,319,524
  5. Step 5: Solve for x
    x = 9,561,319,524/65,362
  6. Step 6: Final answer
    x = 146,282.54

Related Problems

Find third proportional to 32,681 and 48,891
Half scale
Find third proportional to 130,724 and 195,564
Double scale
Find third proportional to 65,364 and 97,785
Similar ratio
Find third proportional to 98,043 and 146,673
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.