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Finding the Third Proportional to 358,346 and 518,003

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Solution

The third proportional to 358,346 and 518,003 is: 748,793.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,346 : 518,003 = 518,003 : x
  2. Step 2: Convert to fraction form
    358,346/518,003 = 518,003/x
  3. Step 3: Cross multiply
    358,346x = 518,003 × 518,003
  4. Step 4: Simplify right side
    358,346x = 268,327,108,009
  5. Step 5: Solve for x
    x = 268,327,108,009/358,346
  6. Step 6: Final answer
    x = 748,793.37

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.