Home / 125-297

Finding the Third Proportional to 125 and 297

Calculator

Solution

The third proportional to 125 and 297 is: 705.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    125 : 297 = 297 : x
  2. Step 2: Convert to fraction form
    125/297 = 297/x
  3. Step 3: Cross multiply
    125x = 297 × 297
  4. Step 4: Simplify right side
    125x = 88,209
  5. Step 5: Solve for x
    x = 88,209/125
  6. Step 6: Final answer
    x = 705.67

Related Problems

Find third proportional to 62.50 and 148.50
Half scale
Find third proportional to 250 and 594
Double scale
Find third proportional to 127 and 302
Similar ratio
Find third proportional to 187.50 and 445.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.