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Finding the Third Proportional to 328,516 and 706,136

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Solution

The third proportional to 328,516 and 706,136 is: 1,517,819.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,516 : 706,136 = 706,136 : x
  2. Step 2: Convert to fraction form
    328,516/706,136 = 706,136/x
  3. Step 3: Cross multiply
    328,516x = 706,136 × 706,136
  4. Step 4: Simplify right side
    328,516x = 498,628,050,496
  5. Step 5: Solve for x
    x = 498,628,050,496/328,516
  6. Step 6: Final answer
    x = 1,517,819.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.