Home / 362,070-506,434

Finding the Third Proportional to 362,070 and 506,434

Calculator

Solution

The third proportional to 362,070 and 506,434 is: 708,358.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,070 : 506,434 = 506,434 : x
  2. Step 2: Convert to fraction form
    362,070/506,434 = 506,434/x
  3. Step 3: Cross multiply
    362,070x = 506,434 × 506,434
  4. Step 4: Simplify right side
    362,070x = 256,475,396,356
  5. Step 5: Solve for x
    x = 256,475,396,356/362,070
  6. Step 6: Final answer
    x = 708,358.59

Related Problems

Find third proportional to 181,035 and 253,217
Half scale
Find third proportional to 724,140 and 1,012,868
Double scale
Find third proportional to 362,072 and 506,437
Similar ratio
Find third proportional to 543,105 and 759,651
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.