Home / 463.50-522

Finding the Third Proportional to 463.50 and 522

Calculator

Solution

The third proportional to 463.50 and 522 is: 587.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.50 : 522 = 522 : x
  2. Step 2: Convert to fraction form
    463.50/522 = 522/x
  3. Step 3: Cross multiply
    463.50x = 522 × 522
  4. Step 4: Simplify right side
    463.50x = 272,484
  5. Step 5: Solve for x
    x = 272,484/463.50
  6. Step 6: Final answer
    x = 587.88

Related Problems

Find third proportional to 231.75 and 261
Half scale
Find third proportional to 927 and 1,044
Double scale
Find third proportional to 466 and 524
Similar ratio
Find third proportional to 695.25 and 783
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.