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Finding the Third Proportional to 328,977 and 717,444

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Solution

The third proportional to 328,977 and 717,444 is: 1,564,625.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,977 : 717,444 = 717,444 : x
  2. Step 2: Convert to fraction form
    328,977/717,444 = 717,444/x
  3. Step 3: Cross multiply
    328,977x = 717,444 × 717,444
  4. Step 4: Simplify right side
    328,977x = 514,725,893,136
  5. Step 5: Solve for x
    x = 514,725,893,136/328,977
  6. Step 6: Final answer
    x = 1,564,625.77

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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.