Home / 354.63-522

Finding the Third Proportional to 354.63 and 522

Calculator

Solution

The third proportional to 354.63 and 522 is: 768.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.63 : 522 = 522 : x
  2. Step 2: Convert to fraction form
    354.63/522 = 522/x
  3. Step 3: Cross multiply
    354.63x = 522 × 522
  4. Step 4: Simplify right side
    354.63x = 272,484
  5. Step 5: Solve for x
    x = 272,484/354.63
  6. Step 6: Final answer
    x = 768.37

Related Problems

Find third proportional to 177.31 and 261
Half scale
Find third proportional to 709.25 and 1,044
Double scale
Find third proportional to 357 and 525
Similar ratio
Find third proportional to 531.94 and 783
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.