Home / 830.81-1,214.06

Finding the Third Proportional to 830.81 and 1,214.06

Calculator

Solution

The third proportional to 830.81 and 1,214.06 is: 1,774.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.81 : 1,214.06 = 1,214.06 : x
  2. Step 2: Convert to fraction form
    830.81/1,214.06 = 1,214.06/x
  3. Step 3: Cross multiply
    830.81x = 1,214.06 × 1,214.06
  4. Step 4: Simplify right side
    830.81x = 1,473,947.75
  5. Step 5: Solve for x
    x = 1,473,947.75/830.81
  6. Step 6: Final answer
    x = 1,774.10

Related Problems

Find third proportional to 415.41 and 607.03
Half scale
Find third proportional to 1,661.63 and 2,428.13
Double scale
Find third proportional to 833 and 1,217
Similar ratio
Find third proportional to 1,246.22 and 1,821.09
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.