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Finding the Third Proportional to 328,196 and 717,136

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Solution

The third proportional to 328,196 and 717,136 is: 1,567,002.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,196 : 717,136 = 717,136 : x
  2. Step 2: Convert to fraction form
    328,196/717,136 = 717,136/x
  3. Step 3: Cross multiply
    328,196x = 717,136 × 717,136
  4. Step 4: Simplify right side
    328,196x = 514,284,042,496
  5. Step 5: Solve for x
    x = 514,284,042,496/328,196
  6. Step 6: Final answer
    x = 1,567,002.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.