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Finding the Third Proportional to 328,425 and 708,123

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Solution

The third proportional to 328,425 and 708,123 is: 1,526,796.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,425 : 708,123 = 708,123 : x
  2. Step 2: Convert to fraction form
    328,425/708,123 = 708,123/x
  3. Step 3: Cross multiply
    328,425x = 708,123 × 708,123
  4. Step 4: Simplify right side
    328,425x = 501,438,183,129
  5. Step 5: Solve for x
    x = 501,438,183,129/328,425
  6. Step 6: Final answer
    x = 1,526,796.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.