Home / 45,098-97,972

Finding the Third Proportional to 45,098 and 97,972

Calculator

Solution

The third proportional to 45,098 and 97,972 is: 212,836.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,098 : 97,972 = 97,972 : x
  2. Step 2: Convert to fraction form
    45,098/97,972 = 97,972/x
  3. Step 3: Cross multiply
    45,098x = 97,972 × 97,972
  4. Step 4: Simplify right side
    45,098x = 9,598,512,784
  5. Step 5: Solve for x
    x = 9,598,512,784/45,098
  6. Step 6: Final answer
    x = 212,836.77

Related Problems

Find third proportional to 22,549 and 48,986
Half scale
Find third proportional to 90,196 and 195,944
Double scale
Find third proportional to 45,100 and 97,976
Similar ratio
Find third proportional to 67,647 and 146,958
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.