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Finding the Third Proportional to 328,982 and 717,459

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Solution

The third proportional to 328,982 and 717,459 is: 1,564,667.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,982 : 717,459 = 717,459 : x
  2. Step 2: Convert to fraction form
    328,982/717,459 = 717,459/x
  3. Step 3: Cross multiply
    328,982x = 717,459 × 717,459
  4. Step 4: Simplify right side
    328,982x = 514,747,416,681
  5. Step 5: Solve for x
    x = 514,747,416,681/328,982
  6. Step 6: Final answer
    x = 1,564,667.42

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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.