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Finding the Third Proportional to 619,420 and 1,313,270

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Solution

The third proportional to 619,420 and 1,313,270 is: 2,784,343.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,420 : 1,313,270 = 1,313,270 : x
  2. Step 2: Convert to fraction form
    619,420/1,313,270 = 1,313,270/x
  3. Step 3: Cross multiply
    619,420x = 1,313,270 × 1,313,270
  4. Step 4: Simplify right side
    619,420x = 1,724,678,092,900
  5. Step 5: Solve for x
    x = 1,724,678,092,900/619,420
  6. Step 6: Final answer
    x = 2,784,343.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.