Home / 142,784-310,982

Finding the Third Proportional to 142,784 and 310,982

Calculator

Solution

The third proportional to 142,784 and 310,982 is: 677,315.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,784 : 310,982 = 310,982 : x
  2. Step 2: Convert to fraction form
    142,784/310,982 = 310,982/x
  3. Step 3: Cross multiply
    142,784x = 310,982 × 310,982
  4. Step 4: Simplify right side
    142,784x = 96,709,804,324
  5. Step 5: Solve for x
    x = 96,709,804,324/142,784
  6. Step 6: Final answer
    x = 677,315.42

Related Problems

Find third proportional to 71,392 and 155,491
Half scale
Find third proportional to 285,568 and 621,964
Double scale
Find third proportional to 142,786 and 310,986
Similar ratio
Find third proportional to 214,176 and 466,473
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.