Home / 522,084-830,746

Finding the Third Proportional to 522,084 and 830,746

Calculator

Solution

The third proportional to 522,084 and 830,746 is: 1,321,892.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,084 : 830,746 = 830,746 : x
  2. Step 2: Convert to fraction form
    522,084/830,746 = 830,746/x
  3. Step 3: Cross multiply
    522,084x = 830,746 × 830,746
  4. Step 4: Simplify right side
    522,084x = 690,138,916,516
  5. Step 5: Solve for x
    x = 690,138,916,516/522,084
  6. Step 6: Final answer
    x = 1,321,892.49

Related Problems

Find third proportional to 261,042 and 415,373
Half scale
Find third proportional to 1,044,168 and 1,661,492
Double scale
Find third proportional to 522,086 and 830,749
Similar ratio
Find third proportional to 783,126 and 1,246,119
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.