Home / 457.78-702.84

Finding the Third Proportional to 457.78 and 702.84

Calculator

Solution

The third proportional to 457.78 and 702.84 is: 1,079.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.78 : 702.84 = 702.84 : x
  2. Step 2: Convert to fraction form
    457.78/702.84 = 702.84/x
  3. Step 3: Cross multiply
    457.78x = 702.84 × 702.84
  4. Step 4: Simplify right side
    457.78x = 493,989.34
  5. Step 5: Solve for x
    x = 493,989.34/457.78
  6. Step 6: Final answer
    x = 1,079.09

Related Problems

Find third proportional to 228.89 and 351.42
Half scale
Find third proportional to 915.56 and 1,405.69
Double scale
Find third proportional to 460 and 706
Similar ratio
Find third proportional to 686.67 and 1,054.27
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.