Home / 459.42-977.91

Finding the Third Proportional to 459.42 and 977.91

Calculator

Solution

The third proportional to 459.42 and 977.91 is: 2,081.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.42 : 977.91 = 977.91 : x
  2. Step 2: Convert to fraction form
    459.42/977.91 = 977.91/x
  3. Step 3: Cross multiply
    459.42x = 977.91 × 977.91
  4. Step 4: Simplify right side
    459.42x = 956,300.63
  5. Step 5: Solve for x
    x = 956,300.63/459.42
  6. Step 6: Final answer
    x = 2,081.53

Related Problems

Find third proportional to 229.71 and 488.95
Half scale
Find third proportional to 918.84 and 1,955.81
Double scale
Find third proportional to 461 and 982
Similar ratio
Find third proportional to 689.13 and 1,466.86
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.