Home / 784.13-1,677.09

Finding the Third Proportional to 784.13 and 1,677.09

Calculator

Solution

The third proportional to 784.13 and 1,677.09 is: 3,586.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.13 : 1,677.09 = 1,677.09 : x
  2. Step 2: Convert to fraction form
    784.13/1,677.09 = 1,677.09/x
  3. Step 3: Cross multiply
    784.13x = 1,677.09 × 1,677.09
  4. Step 4: Simplify right side
    784.13x = 2,812,643.45
  5. Step 5: Solve for x
    x = 2,812,643.45/784.13
  6. Step 6: Final answer
    x = 3,586.98

Related Problems

Find third proportional to 392.06 and 838.55
Half scale
Find third proportional to 1,568.25 and 3,354.19
Double scale
Find third proportional to 786 and 1,681
Similar ratio
Find third proportional to 1,176.19 and 2,515.64
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.