Home / 200,421-299,658

Finding the Third Proportional to 200,421 and 299,658

Calculator

Solution

The third proportional to 200,421 and 299,658 is: 448,031.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,421 : 299,658 = 299,658 : x
  2. Step 2: Convert to fraction form
    200,421/299,658 = 299,658/x
  3. Step 3: Cross multiply
    200,421x = 299,658 × 299,658
  4. Step 4: Simplify right side
    200,421x = 89,794,916,964
  5. Step 5: Solve for x
    x = 89,794,916,964/200,421
  6. Step 6: Final answer
    x = 448,031.48

Related Problems

Find third proportional to 100,210.50 and 149,829
Half scale
Find third proportional to 400,842 and 599,316
Double scale
Find third proportional to 200,423 and 299,661
Similar ratio
Find third proportional to 300,631.50 and 449,487
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.