Home / 61,406-97,646

Finding the Third Proportional to 61,406 and 97,646

Calculator

Solution

The third proportional to 61,406 and 97,646 is: 155,273.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,406 : 97,646 = 97,646 : x
  2. Step 2: Convert to fraction form
    61,406/97,646 = 97,646/x
  3. Step 3: Cross multiply
    61,406x = 97,646 × 97,646
  4. Step 4: Simplify right side
    61,406x = 9,534,741,316
  5. Step 5: Solve for x
    x = 9,534,741,316/61,406
  6. Step 6: Final answer
    x = 155,273.77

Related Problems

Find third proportional to 30,703 and 48,823
Half scale
Find third proportional to 122,812 and 195,292
Double scale
Find third proportional to 61,408 and 97,649
Similar ratio
Find third proportional to 92,109 and 146,469
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.