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Finding the Third Proportional to 306,120 and 648,600

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Solution

The third proportional to 306,120 and 648,600 is: 1,374,238.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,120 : 648,600 = 648,600 : x
  2. Step 2: Convert to fraction form
    306,120/648,600 = 648,600/x
  3. Step 3: Cross multiply
    306,120x = 648,600 × 648,600
  4. Step 4: Simplify right side
    306,120x = 420,681,960,000
  5. Step 5: Solve for x
    x = 420,681,960,000/306,120
  6. Step 6: Final answer
    x = 1,374,238.73

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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.