Home / 501-781

Finding the Third Proportional to 501 and 781

Calculator

Solution

The third proportional to 501 and 781 is: 1,217.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    501 : 781 = 781 : x
  2. Step 2: Convert to fraction form
    501/781 = 781/x
  3. Step 3: Cross multiply
    501x = 781 × 781
  4. Step 4: Simplify right side
    501x = 609,961
  5. Step 5: Solve for x
    x = 609,961/501
  6. Step 6: Final answer
    x = 1,217.49

Related Problems

Find third proportional to 250.50 and 390.50
Half scale
Find third proportional to 1,002 and 1,562
Double scale
Find third proportional to 503 and 784
Similar ratio
Find third proportional to 751.50 and 1,171.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.