Home / 459,569-661,921

Finding the Third Proportional to 459,569 and 661,921

Calculator

Solution

The third proportional to 459,569 and 661,921 is: 953,370.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,569 : 661,921 = 661,921 : x
  2. Step 2: Convert to fraction form
    459,569/661,921 = 661,921/x
  3. Step 3: Cross multiply
    459,569x = 661,921 × 661,921
  4. Step 4: Simplify right side
    459,569x = 438,139,410,241
  5. Step 5: Solve for x
    x = 438,139,410,241/459,569
  6. Step 6: Final answer
    x = 953,370.25

Related Problems

Find third proportional to 229,784.50 and 330,960.50
Half scale
Find third proportional to 919,138 and 1,323,842
Double scale
Find third proportional to 459,571 and 661,924
Similar ratio
Find third proportional to 689,353.50 and 992,881.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.