Home / 232,384-507,410

Finding the Third Proportional to 232,384 and 507,410

Calculator

Solution

The third proportional to 232,384 and 507,410 is: 1,107,928.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,384 : 507,410 = 507,410 : x
  2. Step 2: Convert to fraction form
    232,384/507,410 = 507,410/x
  3. Step 3: Cross multiply
    232,384x = 507,410 × 507,410
  4. Step 4: Simplify right side
    232,384x = 257,464,908,100
  5. Step 5: Solve for x
    x = 257,464,908,100/232,384
  6. Step 6: Final answer
    x = 1,107,928.72

Related Problems

Find third proportional to 116,192 and 253,705
Half scale
Find third proportional to 464,768 and 1,014,820
Double scale
Find third proportional to 232,386 and 507,414
Similar ratio
Find third proportional to 348,576 and 761,115
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.