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Finding the Third Proportional to 288,306 and 619,238

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Solution

The third proportional to 288,306 and 619,238 is: 1,330,030.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,306 : 619,238 = 619,238 : x
  2. Step 2: Convert to fraction form
    288,306/619,238 = 619,238/x
  3. Step 3: Cross multiply
    288,306x = 619,238 × 619,238
  4. Step 4: Simplify right side
    288,306x = 383,455,700,644
  5. Step 5: Solve for x
    x = 383,455,700,644/288,306
  6. Step 6: Final answer
    x = 1,330,030.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.