Home / 356,918-523,461

Finding the Third Proportional to 356,918 and 523,461

Calculator

Solution

The third proportional to 356,918 and 523,461 is: 767,715.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,918 : 523,461 = 523,461 : x
  2. Step 2: Convert to fraction form
    356,918/523,461 = 523,461/x
  3. Step 3: Cross multiply
    356,918x = 523,461 × 523,461
  4. Step 4: Simplify right side
    356,918x = 274,011,418,521
  5. Step 5: Solve for x
    x = 274,011,418,521/356,918
  6. Step 6: Final answer
    x = 767,715.33

Related Problems

Find third proportional to 178,459 and 261,730.50
Half scale
Find third proportional to 713,836 and 1,046,922
Double scale
Find third proportional to 356,920 and 523,464
Similar ratio
Find third proportional to 535,377 and 785,191.50
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.