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Finding the Third Proportional to 328,914 and 717,228

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Solution

The third proportional to 328,914 and 717,228 is: 1,563,983.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,914 : 717,228 = 717,228 : x
  2. Step 2: Convert to fraction form
    328,914/717,228 = 717,228/x
  3. Step 3: Cross multiply
    328,914x = 717,228 × 717,228
  4. Step 4: Simplify right side
    328,914x = 514,416,003,984
  5. Step 5: Solve for x
    x = 514,416,003,984/328,914
  6. Step 6: Final answer
    x = 1,563,983.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.