Home / 219,330-297,206

Finding the Third Proportional to 219,330 and 297,206

Calculator

Solution

The third proportional to 219,330 and 297,206 is: 402,732.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,330 : 297,206 = 297,206 : x
  2. Step 2: Convert to fraction form
    219,330/297,206 = 297,206/x
  3. Step 3: Cross multiply
    219,330x = 297,206 × 297,206
  4. Step 4: Simplify right side
    219,330x = 88,331,406,436
  5. Step 5: Solve for x
    x = 88,331,406,436/219,330
  6. Step 6: Final answer
    x = 402,732.90

Related Problems

Find third proportional to 109,665 and 148,603
Half scale
Find third proportional to 438,660 and 594,412
Double scale
Find third proportional to 219,332 and 297,209
Similar ratio
Find third proportional to 328,995 and 445,809
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.