Home / 97,242-209,658

Finding the Third Proportional to 97,242 and 209,658

Calculator

Solution

The third proportional to 97,242 and 209,658 is: 452,031.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,242 : 209,658 = 209,658 : x
  2. Step 2: Convert to fraction form
    97,242/209,658 = 209,658/x
  3. Step 3: Cross multiply
    97,242x = 209,658 × 209,658
  4. Step 4: Simplify right side
    97,242x = 43,956,476,964
  5. Step 5: Solve for x
    x = 43,956,476,964/97,242
  6. Step 6: Final answer
    x = 452,031.81

Related Problems

Find third proportional to 48,621 and 104,829
Half scale
Find third proportional to 194,484 and 419,316
Double scale
Find third proportional to 97,244 and 209,662
Similar ratio
Find third proportional to 145,863 and 314,487
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.