Home / 291,435-463,410

Finding the Third Proportional to 291,435 and 463,410

Calculator

Solution

The third proportional to 291,435 and 463,410 is: 736,866.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,435 : 463,410 = 463,410 : x
  2. Step 2: Convert to fraction form
    291,435/463,410 = 463,410/x
  3. Step 3: Cross multiply
    291,435x = 463,410 × 463,410
  4. Step 4: Simplify right side
    291,435x = 214,748,828,100
  5. Step 5: Solve for x
    x = 214,748,828,100/291,435
  6. Step 6: Final answer
    x = 736,866.98

Related Problems

Find third proportional to 145,717.50 and 231,705
Half scale
Find third proportional to 582,870 and 926,820
Double scale
Find third proportional to 291,437 and 463,413
Similar ratio
Find third proportional to 437,152.50 and 695,115
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.