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Finding the Third Proportional to 418,335 and 628,455

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Solution

The third proportional to 418,335 and 628,455 is: 944,113.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,335 : 628,455 = 628,455 : x
  2. Step 2: Convert to fraction form
    418,335/628,455 = 628,455/x
  3. Step 3: Cross multiply
    418,335x = 628,455 × 628,455
  4. Step 4: Simplify right side
    418,335x = 394,955,687,025
  5. Step 5: Solve for x
    x = 394,955,687,025/418,335
  6. Step 6: Final answer
    x = 944,113.42

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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.