Home / 293,337-706,428

Finding the Third Proportional to 293,337 and 706,428

Calculator

Solution

The third proportional to 293,337 and 706,428 is: 1,701,253.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,337 : 706,428 = 706,428 : x
  2. Step 2: Convert to fraction form
    293,337/706,428 = 706,428/x
  3. Step 3: Cross multiply
    293,337x = 706,428 × 706,428
  4. Step 4: Simplify right side
    293,337x = 499,040,519,184
  5. Step 5: Solve for x
    x = 499,040,519,184/293,337
  6. Step 6: Final answer
    x = 1,701,253.23

Related Problems

Find third proportional to 146,668.50 and 353,214
Half scale
Find third proportional to 586,674 and 1,412,856
Double scale
Find third proportional to 293,339 and 706,433
Similar ratio
Find third proportional to 440,005.50 and 1,059,642
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.