Home / 103,697-218,459

Finding the Third Proportional to 103,697 and 218,459

Calculator

Solution

The third proportional to 103,697 and 218,459 is: 460,228.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,697 : 218,459 = 218,459 : x
  2. Step 2: Convert to fraction form
    103,697/218,459 = 218,459/x
  3. Step 3: Cross multiply
    103,697x = 218,459 × 218,459
  4. Step 4: Simplify right side
    103,697x = 47,724,334,681
  5. Step 5: Solve for x
    x = 47,724,334,681/103,697
  6. Step 6: Final answer
    x = 460,228.69

Related Problems

Find third proportional to 51,848.50 and 109,229.50
Half scale
Find third proportional to 207,394 and 436,918
Double scale
Find third proportional to 103,699 and 218,463
Similar ratio
Find third proportional to 155,545.50 and 327,688.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.