Home / 64,299-97,731

Finding the Third Proportional to 64,299 and 97,731

Calculator

Solution

The third proportional to 64,299 and 97,731 is: 148,545.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,299 : 97,731 = 97,731 : x
  2. Step 2: Convert to fraction form
    64,299/97,731 = 97,731/x
  3. Step 3: Cross multiply
    64,299x = 97,731 × 97,731
  4. Step 4: Simplify right side
    64,299x = 9,551,348,361
  5. Step 5: Solve for x
    x = 9,551,348,361/64,299
  6. Step 6: Final answer
    x = 148,545.83

Related Problems

Find third proportional to 32,149.50 and 48,865.50
Half scale
Find third proportional to 128,598 and 195,462
Double scale
Find third proportional to 64,301 and 97,734
Similar ratio
Find third proportional to 96,448.50 and 146,596.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.