Home / 534.50-566

Finding the Third Proportional to 534.50 and 566

Calculator

Solution

The third proportional to 534.50 and 566 is: 599.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.50 : 566 = 566 : x
  2. Step 2: Convert to fraction form
    534.50/566 = 566/x
  3. Step 3: Cross multiply
    534.50x = 566 × 566
  4. Step 4: Simplify right side
    534.50x = 320,356
  5. Step 5: Solve for x
    x = 320,356/534.50
  6. Step 6: Final answer
    x = 599.36

Related Problems

Find third proportional to 267.25 and 283
Half scale
Find third proportional to 1,069 and 1,132
Double scale
Find third proportional to 537 and 568
Similar ratio
Find third proportional to 801.75 and 849
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.