Home / 77,820-121,591

Finding the Third Proportional to 77,820 and 121,591

Calculator

Solution

The third proportional to 77,820 and 121,591 is: 189,981.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,820 : 121,591 = 121,591 : x
  2. Step 2: Convert to fraction form
    77,820/121,591 = 121,591/x
  3. Step 3: Cross multiply
    77,820x = 121,591 × 121,591
  4. Step 4: Simplify right side
    77,820x = 14,784,371,281
  5. Step 5: Solve for x
    x = 14,784,371,281/77,820
  6. Step 6: Final answer
    x = 189,981.64

Related Problems

Find third proportional to 38,910 and 60,795.50
Half scale
Find third proportional to 155,640 and 243,182
Double scale
Find third proportional to 77,822 and 121,594
Similar ratio
Find third proportional to 116,730 and 182,386.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.