Home / 473-547

Finding the Third Proportional to 473 and 547

Calculator

Solution

The third proportional to 473 and 547 is: 632.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    473 : 547 = 547 : x
  2. Step 2: Convert to fraction form
    473/547 = 547/x
  3. Step 3: Cross multiply
    473x = 547 × 547
  4. Step 4: Simplify right side
    473x = 299,209
  5. Step 5: Solve for x
    x = 299,209/473
  6. Step 6: Final answer
    x = 632.58

Related Problems

Find third proportional to 236.50 and 273.50
Half scale
Find third proportional to 946 and 1,094
Double scale
Find third proportional to 475 and 549
Similar ratio
Find third proportional to 709.50 and 820.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.