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Finding the Third Proportional to 288,073 and 436,089

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Solution

The third proportional to 288,073 and 436,089 is: 660,157.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,073 : 436,089 = 436,089 : x
  2. Step 2: Convert to fraction form
    288,073/436,089 = 436,089/x
  3. Step 3: Cross multiply
    288,073x = 436,089 × 436,089
  4. Step 4: Simplify right side
    288,073x = 190,173,615,921
  5. Step 5: Solve for x
    x = 190,173,615,921/288,073
  6. Step 6: Final answer
    x = 660,157.72

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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.