Home / 83,475-122,842

Finding the Third Proportional to 83,475 and 122,842

Calculator

Solution

The third proportional to 83,475 and 122,842 is: 180,774.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,475 : 122,842 = 122,842 : x
  2. Step 2: Convert to fraction form
    83,475/122,842 = 122,842/x
  3. Step 3: Cross multiply
    83,475x = 122,842 × 122,842
  4. Step 4: Simplify right side
    83,475x = 15,090,156,964
  5. Step 5: Solve for x
    x = 15,090,156,964/83,475
  6. Step 6: Final answer
    x = 180,774.57

Related Problems

Find third proportional to 41,737.50 and 61,421
Half scale
Find third proportional to 166,950 and 245,684
Double scale
Find third proportional to 83,477 and 122,845
Similar ratio
Find third proportional to 125,212.50 and 184,263
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.