Home / 517,869-824,382

Finding the Third Proportional to 517,869 and 824,382

Calculator

Solution

The third proportional to 517,869 and 824,382 is: 1,312,311.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,869 : 824,382 = 824,382 : x
  2. Step 2: Convert to fraction form
    517,869/824,382 = 824,382/x
  3. Step 3: Cross multiply
    517,869x = 824,382 × 824,382
  4. Step 4: Simplify right side
    517,869x = 679,605,681,924
  5. Step 5: Solve for x
    x = 679,605,681,924/517,869
  6. Step 6: Final answer
    x = 1,312,311.96

Related Problems

Find third proportional to 258,934.50 and 412,191
Half scale
Find third proportional to 1,035,738 and 1,648,764
Double scale
Find third proportional to 517,871 and 824,385
Similar ratio
Find third proportional to 776,803.50 and 1,236,573
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.