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Finding the Third Proportional to 306,141 and 648,702

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Solution

The third proportional to 306,141 and 648,702 is: 1,374,576.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,141 : 648,702 = 648,702 : x
  2. Step 2: Convert to fraction form
    306,141/648,702 = 648,702/x
  3. Step 3: Cross multiply
    306,141x = 648,702 × 648,702
  4. Step 4: Simplify right side
    306,141x = 420,814,284,804
  5. Step 5: Solve for x
    x = 420,814,284,804/306,141
  6. Step 6: Final answer
    x = 1,374,576.70

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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.