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Finding the Third Proportional to 288,068 and 414,972

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Solution

The third proportional to 288,068 and 414,972 is: 597,781.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,068 : 414,972 = 414,972 : x
  2. Step 2: Convert to fraction form
    288,068/414,972 = 414,972/x
  3. Step 3: Cross multiply
    288,068x = 414,972 × 414,972
  4. Step 4: Simplify right side
    288,068x = 172,201,760,784
  5. Step 5: Solve for x
    x = 172,201,760,784/288,068
  6. Step 6: Final answer
    x = 597,781.64

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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.