Home / 106,272-232,308

Finding the Third Proportional to 106,272 and 232,308

Calculator

Solution

The third proportional to 106,272 and 232,308 is: 507,819.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,272 : 232,308 = 232,308 : x
  2. Step 2: Convert to fraction form
    106,272/232,308 = 232,308/x
  3. Step 3: Cross multiply
    106,272x = 232,308 × 232,308
  4. Step 4: Simplify right side
    106,272x = 53,967,006,864
  5. Step 5: Solve for x
    x = 53,967,006,864/106,272
  6. Step 6: Final answer
    x = 507,819.62

Related Problems

Find third proportional to 53,136 and 116,154
Half scale
Find third proportional to 212,544 and 464,616
Double scale
Find third proportional to 106,274 and 232,312
Similar ratio
Find third proportional to 159,408 and 348,462
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.