Home / 465,633-689,715

Finding the Third Proportional to 465,633 and 689,715

Calculator

Solution

The third proportional to 465,633 and 689,715 is: 1,021,634.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,633 : 689,715 = 689,715 : x
  2. Step 2: Convert to fraction form
    465,633/689,715 = 689,715/x
  3. Step 3: Cross multiply
    465,633x = 689,715 × 689,715
  4. Step 4: Simplify right side
    465,633x = 475,706,781,225
  5. Step 5: Solve for x
    x = 475,706,781,225/465,633
  6. Step 6: Final answer
    x = 1,021,634.59

Related Problems

Find third proportional to 232,816.50 and 344,857.50
Half scale
Find third proportional to 931,266 and 1,379,430
Double scale
Find third proportional to 465,635 and 689,718
Similar ratio
Find third proportional to 698,449.50 and 1,034,572.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.