Home / 75,457-102,113.50

Finding the Third Proportional to 75,457 and 102,113.50

Calculator

Solution

The third proportional to 75,457 and 102,113.50 is: 138,186.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,457 : 102,113.50 = 102,113.50 : x
  2. Step 2: Convert to fraction form
    75,457/102,113.50 = 102,113.50/x
  3. Step 3: Cross multiply
    75,457x = 102,113.50 × 102,113.50
  4. Step 4: Simplify right side
    75,457x = 10,427,166,882.25
  5. Step 5: Solve for x
    x = 10,427,166,882.25/75,457
  6. Step 6: Final answer
    x = 138,186.87

Related Problems

Find third proportional to 37,728.50 and 51,056.75
Half scale
Find third proportional to 150,914 and 204,227
Double scale
Find third proportional to 75,459 and 102,116
Similar ratio
Find third proportional to 113,185.50 and 153,170.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.