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Finding the Third Proportional to 146,405 and 305,518

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Solution

The third proportional to 146,405 and 305,518 is: 637,555.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,405 : 305,518 = 305,518 : x
  2. Step 2: Convert to fraction form
    146,405/305,518 = 305,518/x
  3. Step 3: Cross multiply
    146,405x = 305,518 × 305,518
  4. Step 4: Simplify right side
    146,405x = 93,341,248,324
  5. Step 5: Solve for x
    x = 93,341,248,324/146,405
  6. Step 6: Final answer
    x = 637,555.06

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.