Home / 347-470

Finding the Third Proportional to 347 and 470

Calculator

Solution

The third proportional to 347 and 470 is: 636.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    347 : 470 = 470 : x
  2. Step 2: Convert to fraction form
    347/470 = 470/x
  3. Step 3: Cross multiply
    347x = 470 × 470
  4. Step 4: Simplify right side
    347x = 220,900
  5. Step 5: Solve for x
    x = 220,900/347
  6. Step 6: Final answer
    x = 636.60

Related Problems

Find third proportional to 173.50 and 235
Half scale
Find third proportional to 694 and 940
Double scale
Find third proportional to 349 and 473
Similar ratio
Find third proportional to 520.50 and 705
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.