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Finding the Third Proportional to 328,908 and 719,328

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Solution

The third proportional to 328,908 and 719,328 is: 1,573,183.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,908 : 719,328 = 719,328 : x
  2. Step 2: Convert to fraction form
    328,908/719,328 = 719,328/x
  3. Step 3: Cross multiply
    328,908x = 719,328 × 719,328
  4. Step 4: Simplify right side
    328,908x = 517,432,771,584
  5. Step 5: Solve for x
    x = 517,432,771,584/328,908
  6. Step 6: Final answer
    x = 1,573,183.90

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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.