Home / 284,940-442,953

Finding the Third Proportional to 284,940 and 442,953

Calculator

Solution

The third proportional to 284,940 and 442,953 is: 688,591.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,940 : 442,953 = 442,953 : x
  2. Step 2: Convert to fraction form
    284,940/442,953 = 442,953/x
  3. Step 3: Cross multiply
    284,940x = 442,953 × 442,953
  4. Step 4: Simplify right side
    284,940x = 196,207,360,209
  5. Step 5: Solve for x
    x = 196,207,360,209/284,940
  6. Step 6: Final answer
    x = 688,591.84

Related Problems

Find third proportional to 142,470 and 221,476.50
Half scale
Find third proportional to 569,880 and 885,906
Double scale
Find third proportional to 284,942 and 442,956
Similar ratio
Find third proportional to 427,410 and 664,429.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.