Home / 384.19-517.78

Finding the Third Proportional to 384.19 and 517.78

Calculator

Solution

The third proportional to 384.19 and 517.78 is: 697.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.19 : 517.78 = 517.78 : x
  2. Step 2: Convert to fraction form
    384.19/517.78 = 517.78/x
  3. Step 3: Cross multiply
    384.19x = 517.78 × 517.78
  4. Step 4: Simplify right side
    384.19x = 268,097.42
  5. Step 5: Solve for x
    x = 268,097.42/384.19
  6. Step 6: Final answer
    x = 697.83

Related Problems

Find third proportional to 192.09 and 258.89
Half scale
Find third proportional to 768.38 and 1,035.56
Double scale
Find third proportional to 386 and 520
Similar ratio
Find third proportional to 576.28 and 776.67
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.