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Finding the Third Proportional to 159,516 and 345,303

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Solution

The third proportional to 159,516 and 345,303 is: 747,474.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,516 : 345,303 = 345,303 : x
  2. Step 2: Convert to fraction form
    159,516/345,303 = 345,303/x
  3. Step 3: Cross multiply
    159,516x = 345,303 × 345,303
  4. Step 4: Simplify right side
    159,516x = 119,234,161,809
  5. Step 5: Solve for x
    x = 119,234,161,809/159,516
  6. Step 6: Final answer
    x = 747,474.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.