Home / 289,404-442,431

Finding the Third Proportional to 289,404 and 442,431

Calculator

Solution

The third proportional to 289,404 and 442,431 is: 676,373.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,404 : 442,431 = 442,431 : x
  2. Step 2: Convert to fraction form
    289,404/442,431 = 442,431/x
  3. Step 3: Cross multiply
    289,404x = 442,431 × 442,431
  4. Step 4: Simplify right side
    289,404x = 195,745,189,761
  5. Step 5: Solve for x
    x = 195,745,189,761/289,404
  6. Step 6: Final answer
    x = 676,373.48

Related Problems

Find third proportional to 144,702 and 221,215.50
Half scale
Find third proportional to 578,808 and 884,862
Double scale
Find third proportional to 289,406 and 442,434
Similar ratio
Find third proportional to 434,106 and 663,646.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.