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Finding the Third Proportional to 329,435 and 719,289

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Solution

The third proportional to 329,435 and 719,289 is: 1,570,496.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,435 : 719,289 = 719,289 : x
  2. Step 2: Convert to fraction form
    329,435/719,289 = 719,289/x
  3. Step 3: Cross multiply
    329,435x = 719,289 × 719,289
  4. Step 4: Simplify right side
    329,435x = 517,376,665,521
  5. Step 5: Solve for x
    x = 517,376,665,521/329,435
  6. Step 6: Final answer
    x = 1,570,496.96

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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.