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Finding the Third Proportional to 328,976 and 702,288

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Solution

The third proportional to 328,976 and 702,288 is: 1,499,223.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,976 : 702,288 = 702,288 : x
  2. Step 2: Convert to fraction form
    328,976/702,288 = 702,288/x
  3. Step 3: Cross multiply
    328,976x = 702,288 × 702,288
  4. Step 4: Simplify right side
    328,976x = 493,208,434,944
  5. Step 5: Solve for x
    x = 493,208,434,944/328,976
  6. Step 6: Final answer
    x = 1,499,223.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.