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Finding the Third Proportional to 399,665 and 598,281

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Solution

The third proportional to 399,665 and 598,281 is: 895,600.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,665 : 598,281 = 598,281 : x
  2. Step 2: Convert to fraction form
    399,665/598,281 = 598,281/x
  3. Step 3: Cross multiply
    399,665x = 598,281 × 598,281
  4. Step 4: Simplify right side
    399,665x = 357,940,154,961
  5. Step 5: Solve for x
    x = 357,940,154,961/399,665
  6. Step 6: Final answer
    x = 895,600.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.