Home / 307,664-465,741

Finding the Third Proportional to 307,664 and 465,741

Calculator

Solution

The third proportional to 307,664 and 465,741 is: 705,037.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,664 : 465,741 = 465,741 : x
  2. Step 2: Convert to fraction form
    307,664/465,741 = 465,741/x
  3. Step 3: Cross multiply
    307,664x = 465,741 × 465,741
  4. Step 4: Simplify right side
    307,664x = 216,914,679,081
  5. Step 5: Solve for x
    x = 216,914,679,081/307,664
  6. Step 6: Final answer
    x = 705,037.57

Related Problems

Find third proportional to 153,832 and 232,870.50
Half scale
Find third proportional to 615,328 and 931,482
Double scale
Find third proportional to 307,666 and 465,744
Similar ratio
Find third proportional to 461,496 and 698,611.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.