Home / 97,421-209,638

Finding the Third Proportional to 97,421 and 209,638

Calculator

Solution

The third proportional to 97,421 and 209,638 is: 451,115.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,421 : 209,638 = 209,638 : x
  2. Step 2: Convert to fraction form
    97,421/209,638 = 209,638/x
  3. Step 3: Cross multiply
    97,421x = 209,638 × 209,638
  4. Step 4: Simplify right side
    97,421x = 43,948,091,044
  5. Step 5: Solve for x
    x = 43,948,091,044/97,421
  6. Step 6: Final answer
    x = 451,115.17

Related Problems

Find third proportional to 48,710.50 and 104,819
Half scale
Find third proportional to 194,842 and 419,276
Double scale
Find third proportional to 97,423 and 209,642
Similar ratio
Find third proportional to 146,131.50 and 314,457
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.