Home / 319,983-685,506

Finding the Third Proportional to 319,983 and 685,506

Calculator

Solution

The third proportional to 319,983 and 685,506 is: 1,468,573.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,983 : 685,506 = 685,506 : x
  2. Step 2: Convert to fraction form
    319,983/685,506 = 685,506/x
  3. Step 3: Cross multiply
    319,983x = 685,506 × 685,506
  4. Step 4: Simplify right side
    319,983x = 469,918,476,036
  5. Step 5: Solve for x
    x = 469,918,476,036/319,983
  6. Step 6: Final answer
    x = 1,468,573.26

Related Problems

Find third proportional to 159,991.50 and 342,753
Half scale
Find third proportional to 639,966 and 1,371,012
Double scale
Find third proportional to 319,985 and 685,510
Similar ratio
Find third proportional to 479,974.50 and 1,028,259
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.