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Finding the Third Proportional to 288,700 and 415,860

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Solution

The third proportional to 288,700 and 415,860 is: 599,028.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,700 : 415,860 = 415,860 : x
  2. Step 2: Convert to fraction form
    288,700/415,860 = 415,860/x
  3. Step 3: Cross multiply
    288,700x = 415,860 × 415,860
  4. Step 4: Simplify right side
    288,700x = 172,939,539,600
  5. Step 5: Solve for x
    x = 172,939,539,600/288,700
  6. Step 6: Final answer
    x = 599,028.54

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.