Home / 457,820-697,382

Finding the Third Proportional to 457,820 and 697,382

Calculator

Solution

The third proportional to 457,820 and 697,382 is: 1,062,298.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,820 : 697,382 = 697,382 : x
  2. Step 2: Convert to fraction form
    457,820/697,382 = 697,382/x
  3. Step 3: Cross multiply
    457,820x = 697,382 × 697,382
  4. Step 4: Simplify right side
    457,820x = 486,341,653,924
  5. Step 5: Solve for x
    x = 486,341,653,924/457,820
  6. Step 6: Final answer
    x = 1,062,298.84

Related Problems

Find third proportional to 228,910 and 348,691
Half scale
Find third proportional to 915,640 and 1,394,764
Double scale
Find third proportional to 457,822 and 697,385
Similar ratio
Find third proportional to 686,730 and 1,046,073
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.