Home / 467,968-684,402

Finding the Third Proportional to 467,968 and 684,402

Calculator

Solution

The third proportional to 467,968 and 684,402 is: 1,000,936.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,968 : 684,402 = 684,402 : x
  2. Step 2: Convert to fraction form
    467,968/684,402 = 684,402/x
  3. Step 3: Cross multiply
    467,968x = 684,402 × 684,402
  4. Step 4: Simplify right side
    467,968x = 468,406,097,604
  5. Step 5: Solve for x
    x = 468,406,097,604/467,968
  6. Step 6: Final answer
    x = 1,000,936.17

Related Problems

Find third proportional to 233,984 and 342,201
Half scale
Find third proportional to 935,936 and 1,368,804
Double scale
Find third proportional to 467,970 and 684,405
Similar ratio
Find third proportional to 701,952 and 1,026,603
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.