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Finding the Third Proportional to 306,378 and 648,084

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Solution

The third proportional to 306,378 and 648,084 is: 1,370,897.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,378 : 648,084 = 648,084 : x
  2. Step 2: Convert to fraction form
    306,378/648,084 = 648,084/x
  3. Step 3: Cross multiply
    306,378x = 648,084 × 648,084
  4. Step 4: Simplify right side
    306,378x = 420,012,871,056
  5. Step 5: Solve for x
    x = 420,012,871,056/306,378
  6. Step 6: Final answer
    x = 1,370,897.62

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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.