Home / 464,616-683,316

Finding the Third Proportional to 464,616 and 683,316

Calculator

Solution

The third proportional to 464,616 and 683,316 is: 1,004,960.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,616 : 683,316 = 683,316 : x
  2. Step 2: Convert to fraction form
    464,616/683,316 = 683,316/x
  3. Step 3: Cross multiply
    464,616x = 683,316 × 683,316
  4. Step 4: Simplify right side
    464,616x = 466,920,755,856
  5. Step 5: Solve for x
    x = 466,920,755,856/464,616
  6. Step 6: Final answer
    x = 1,004,960.56

Related Problems

Find third proportional to 232,308 and 341,658
Half scale
Find third proportional to 929,232 and 1,366,632
Double scale
Find third proportional to 464,618 and 683,319
Similar ratio
Find third proportional to 696,924 and 1,024,974
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.