Home / 321,506-698,364

Finding the Third Proportional to 321,506 and 698,364

Calculator

Solution

The third proportional to 321,506 and 698,364 is: 1,516,961.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,506 : 698,364 = 698,364 : x
  2. Step 2: Convert to fraction form
    321,506/698,364 = 698,364/x
  3. Step 3: Cross multiply
    321,506x = 698,364 × 698,364
  4. Step 4: Simplify right side
    321,506x = 487,712,276,496
  5. Step 5: Solve for x
    x = 487,712,276,496/321,506
  6. Step 6: Final answer
    x = 1,516,961.66

Related Problems

Find third proportional to 160,753 and 349,182
Half scale
Find third proportional to 643,012 and 1,396,728
Double scale
Find third proportional to 321,508 and 698,368
Similar ratio
Find third proportional to 482,259 and 1,047,546
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.