Home / 229,754-343,254

Finding the Third Proportional to 229,754 and 343,254

Calculator

Solution

The third proportional to 229,754 and 343,254 is: 512,823.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,754 : 343,254 = 343,254 : x
  2. Step 2: Convert to fraction form
    229,754/343,254 = 343,254/x
  3. Step 3: Cross multiply
    229,754x = 343,254 × 343,254
  4. Step 4: Simplify right side
    229,754x = 117,823,308,516
  5. Step 5: Solve for x
    x = 117,823,308,516/229,754
  6. Step 6: Final answer
    x = 512,823.75

Related Problems

Find third proportional to 114,877 and 171,627
Half scale
Find third proportional to 459,508 and 686,508
Double scale
Find third proportional to 229,756 and 343,257
Similar ratio
Find third proportional to 344,631 and 514,881
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.