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Finding the Third Proportional to 305,958 and 430,095

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Solution

The third proportional to 305,958 and 430,095 is: 604,598.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,958 : 430,095 = 430,095 : x
  2. Step 2: Convert to fraction form
    305,958/430,095 = 430,095/x
  3. Step 3: Cross multiply
    305,958x = 430,095 × 430,095
  4. Step 4: Simplify right side
    305,958x = 184,981,709,025
  5. Step 5: Solve for x
    x = 184,981,709,025/305,958
  6. Step 6: Final answer
    x = 604,598.37

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.