Home / 463,733-705,320

Finding the Third Proportional to 463,733 and 705,320

Calculator

Solution

The third proportional to 463,733 and 705,320 is: 1,072,764.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,733 : 705,320 = 705,320 : x
  2. Step 2: Convert to fraction form
    463,733/705,320 = 705,320/x
  3. Step 3: Cross multiply
    463,733x = 705,320 × 705,320
  4. Step 4: Simplify right side
    463,733x = 497,476,302,400
  5. Step 5: Solve for x
    x = 497,476,302,400/463,733
  6. Step 6: Final answer
    x = 1,072,764.51

Related Problems

Find third proportional to 231,866.50 and 352,660
Half scale
Find third proportional to 927,466 and 1,410,640
Double scale
Find third proportional to 463,735 and 705,323
Similar ratio
Find third proportional to 695,599.50 and 1,057,980
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.