Home / 345,624-564,372

Finding the Third Proportional to 345,624 and 564,372

Calculator

Solution

The third proportional to 345,624 and 564,372 is: 921,567.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,624 : 564,372 = 564,372 : x
  2. Step 2: Convert to fraction form
    345,624/564,372 = 564,372/x
  3. Step 3: Cross multiply
    345,624x = 564,372 × 564,372
  4. Step 4: Simplify right side
    345,624x = 318,515,754,384
  5. Step 5: Solve for x
    x = 318,515,754,384/345,624
  6. Step 6: Final answer
    x = 921,567.24

Related Problems

Find third proportional to 172,812 and 282,186
Half scale
Find third proportional to 691,248 and 1,128,744
Double scale
Find third proportional to 345,626 and 564,375
Similar ratio
Find third proportional to 518,436 and 846,558
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.