Home / 102,609-153,503

Finding the Third Proportional to 102,609 and 153,503

Calculator

Solution

The third proportional to 102,609 and 153,503 is: 229,640.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,609 : 153,503 = 153,503 : x
  2. Step 2: Convert to fraction form
    102,609/153,503 = 153,503/x
  3. Step 3: Cross multiply
    102,609x = 153,503 × 153,503
  4. Step 4: Simplify right side
    102,609x = 23,563,171,009
  5. Step 5: Solve for x
    x = 23,563,171,009/102,609
  6. Step 6: Final answer
    x = 229,640.39

Related Problems

Find third proportional to 51,304.50 and 76,751.50
Half scale
Find third proportional to 205,218 and 307,006
Double scale
Find third proportional to 102,611 and 153,506
Similar ratio
Find third proportional to 153,913.50 and 230,254.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.