Home / 385.69-614.06

Finding the Third Proportional to 385.69 and 614.06

Calculator

Solution

The third proportional to 385.69 and 614.06 is: 977.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.69 : 614.06 = 614.06 : x
  2. Step 2: Convert to fraction form
    385.69/614.06 = 614.06/x
  3. Step 3: Cross multiply
    385.69x = 614.06 × 614.06
  4. Step 4: Simplify right side
    385.69x = 377,072.75
  5. Step 5: Solve for x
    x = 377,072.75/385.69
  6. Step 6: Final answer
    x = 977.66

Related Problems

Find third proportional to 192.84 and 307.03
Half scale
Find third proportional to 771.38 and 1,228.13
Double scale
Find third proportional to 388 and 617
Similar ratio
Find third proportional to 578.53 and 921.09
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.