Home / 429,084-564,246

Finding the Third Proportional to 429,084 and 564,246

Calculator

Solution

The third proportional to 429,084 and 564,246 is: 741,984.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,084 : 564,246 = 564,246 : x
  2. Step 2: Convert to fraction form
    429,084/564,246 = 564,246/x
  3. Step 3: Cross multiply
    429,084x = 564,246 × 564,246
  4. Step 4: Simplify right side
    429,084x = 318,373,548,516
  5. Step 5: Solve for x
    x = 318,373,548,516/429,084
  6. Step 6: Final answer
    x = 741,984.20

Related Problems

Find third proportional to 214,542 and 282,123
Half scale
Find third proportional to 858,168 and 1,128,492
Double scale
Find third proportional to 429,086 and 564,249
Similar ratio
Find third proportional to 643,626 and 846,369
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.