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Finding the Third Proportional to 199,556 and 301,409

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Solution

The third proportional to 199,556 and 301,409 is: 455,247.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,556 : 301,409 = 301,409 : x
  2. Step 2: Convert to fraction form
    199,556/301,409 = 301,409/x
  3. Step 3: Cross multiply
    199,556x = 301,409 × 301,409
  4. Step 4: Simplify right side
    199,556x = 90,847,385,281
  5. Step 5: Solve for x
    x = 90,847,385,281/199,556
  6. Step 6: Final answer
    x = 455,247.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.