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Finding the Third Proportional to 328,970 and 717,435

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Solution

The third proportional to 328,970 and 717,435 is: 1,564,619.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,970 : 717,435 = 717,435 : x
  2. Step 2: Convert to fraction form
    328,970/717,435 = 717,435/x
  3. Step 3: Cross multiply
    328,970x = 717,435 × 717,435
  4. Step 4: Simplify right side
    328,970x = 514,712,979,225
  5. Step 5: Solve for x
    x = 514,712,979,225/328,970
  6. Step 6: Final answer
    x = 1,564,619.81

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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.