Home / 238,306-523,842

Finding the Third Proportional to 238,306 and 523,842

Calculator

Solution

The third proportional to 238,306 and 523,842 is: 1,151,504.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,306 : 523,842 = 523,842 : x
  2. Step 2: Convert to fraction form
    238,306/523,842 = 523,842/x
  3. Step 3: Cross multiply
    238,306x = 523,842 × 523,842
  4. Step 4: Simplify right side
    238,306x = 274,410,440,964
  5. Step 5: Solve for x
    x = 274,410,440,964/238,306
  6. Step 6: Final answer
    x = 1,151,504.54

Related Problems

Find third proportional to 119,153 and 261,921
Half scale
Find third proportional to 476,612 and 1,047,684
Double scale
Find third proportional to 238,308 and 523,846
Similar ratio
Find third proportional to 357,459 and 785,763
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.