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Finding the Third Proportional to 328,644 and 707,103

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Solution

The third proportional to 328,644 and 707,103 is: 1,521,386.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,644 : 707,103 = 707,103 : x
  2. Step 2: Convert to fraction form
    328,644/707,103 = 707,103/x
  3. Step 3: Cross multiply
    328,644x = 707,103 × 707,103
  4. Step 4: Simplify right side
    328,644x = 499,994,652,609
  5. Step 5: Solve for x
    x = 499,994,652,609/328,644
  6. Step 6: Final answer
    x = 1,521,386.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.