Home / 381,599-829,522

Finding the Third Proportional to 381,599 and 829,522

Calculator

Solution

The third proportional to 381,599 and 829,522 is: 1,803,219.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,599 : 829,522 = 829,522 : x
  2. Step 2: Convert to fraction form
    381,599/829,522 = 829,522/x
  3. Step 3: Cross multiply
    381,599x = 829,522 × 829,522
  4. Step 4: Simplify right side
    381,599x = 688,106,748,484
  5. Step 5: Solve for x
    x = 688,106,748,484/381,599
  6. Step 6: Final answer
    x = 1,803,219.48

Related Problems

Find third proportional to 190,799.50 and 414,761
Half scale
Find third proportional to 763,198 and 1,659,044
Double scale
Find third proportional to 381,601 and 829,526
Similar ratio
Find third proportional to 572,398.50 and 1,244,283
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.